TSTP Solution File: SWV571-1.049 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV571-1.049 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 21:44:25 EDT 2022

% Result   : Unsatisfiable 1.43s 1.63s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  113
%            Number of leaves      :  263
% Syntax   : Number of clauses     :  909 ( 706 unt; 203 nHn; 909 RR)
%            Number of literals    : 1209 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  317 ( 317 usr; 313 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(select(store(u,v,w),v),w),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(2,axiom,
    ( equal(u,v)
    | equal(select(store(w,u,x),v),select(w,v)) ),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(3,axiom,
    ~ equal(tail,head),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(4,axiom,
    ~ equal(seq,head),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(5,axiom,
    ~ equal(seq,tail),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(6,axiom,
    equal(p(s(u)),u),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(10,axiom,
    equal(s(s(s(u))),u),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(72,axiom,
    equal(store(earray_260,index_261,e48),earray_262),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(84,axiom,
    equal(select(q49,seq),earray_296),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(110,axiom,
    equal(select(earray_296,index_297),elem_298),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(111,axiom,
    equal(select(earray_296,index_300),elem_301),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(112,axiom,
    equal(select(q,tail),index_0),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(113,axiom,
    equal(s(index_99),index_102),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(114,axiom,
    equal(select(q24,tail),index_105),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(115,axiom,
    equal(s(index_105),index_108),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(116,axiom,
    equal(select(q25,tail),index_111),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(117,axiom,
    equal(s(index_111),index_114),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(118,axiom,
    equal(select(q26,tail),index_117),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(119,axiom,
    equal(s(index_9),index_12),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(120,axiom,
    equal(s(index_117),index_120),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(121,axiom,
    equal(select(q27,tail),index_123),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(122,axiom,
    equal(s(index_123),index_126),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(123,axiom,
    equal(select(q28,tail),index_129),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(124,axiom,
    equal(s(index_129),index_132),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(125,axiom,
    equal(select(q2,tail),index_135),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(126,axiom,
    equal(s(index_135),index_138),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(127,axiom,
    equal(select(q29,tail),index_141),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(128,axiom,
    equal(s(index_141),index_144),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(129,axiom,
    equal(select(q30,tail),index_147),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(130,axiom,
    equal(select(q10,tail),index_15),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(131,axiom,
    equal(s(index_147),index_150),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(132,axiom,
    equal(select(q31,tail),index_153),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(133,axiom,
    equal(s(index_153),index_156),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(134,axiom,
    equal(select(q32,tail),index_159),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(135,axiom,
    equal(s(index_159),index_162),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(136,axiom,
    equal(select(q33,tail),index_165),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(137,axiom,
    equal(s(index_165),index_168),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(138,axiom,
    equal(select(q34,tail),index_171),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(139,axiom,
    equal(s(index_171),index_174),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(140,axiom,
    equal(select(q35,tail),index_177),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(141,axiom,
    equal(s(index_15),index_18),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(142,axiom,
    equal(s(index_177),index_180),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(143,axiom,
    equal(select(q36,tail),index_183),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(144,axiom,
    equal(s(index_183),index_186),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(145,axiom,
    equal(select(q37,tail),index_189),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(146,axiom,
    equal(s(index_189),index_192),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(147,axiom,
    equal(select(q38,tail),index_195),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(148,axiom,
    equal(s(index_195),index_198),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(149,axiom,
    equal(select(q3,tail),index_201),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(150,axiom,
    equal(s(index_201),index_204),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(151,axiom,
    equal(select(q39,tail),index_207),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(152,axiom,
    equal(select(q11,tail),index_21),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(153,axiom,
    equal(s(index_207),index_210),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(154,axiom,
    equal(select(q40,tail),index_213),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(155,axiom,
    equal(s(index_213),index_216),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(156,axiom,
    equal(select(q41,tail),index_219),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(157,axiom,
    equal(s(index_219),index_222),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(158,axiom,
    equal(select(q42,tail),index_225),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(159,axiom,
    equal(s(index_225),index_228),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(160,axiom,
    equal(select(q43,tail),index_231),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(161,axiom,
    equal(s(index_231),index_234),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(162,axiom,
    equal(select(q44,tail),index_237),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(163,axiom,
    equal(s(index_21),index_24),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(164,axiom,
    equal(s(index_237),index_240),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(165,axiom,
    equal(select(q45,tail),index_243),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(166,axiom,
    equal(s(index_243),index_246),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(167,axiom,
    equal(select(q46,tail),index_249),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(168,axiom,
    equal(s(index_249),index_252),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(169,axiom,
    equal(select(q47,tail),index_255),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(170,axiom,
    equal(s(index_255),index_258),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(171,axiom,
    equal(select(q48,tail),index_261),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(172,axiom,
    equal(s(index_261),index_264),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(173,axiom,
    equal(select(q4,tail),index_267),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(174,axiom,
    equal(select(q12,tail),index_27),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(175,axiom,
    equal(s(index_267),index_270),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(176,axiom,
    equal(select(q5,tail),index_273),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(177,axiom,
    equal(s(index_273),index_276),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(178,axiom,
    equal(select(q6,tail),index_279),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(179,axiom,
    equal(s(index_279),index_282),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(180,axiom,
    equal(select(q7,tail),index_285),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(181,axiom,
    equal(s(index_285),index_288),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(182,axiom,
    equal(select(q8,tail),index_291),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(183,axiom,
    equal(s(index_291),index_294),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(184,axiom,
    equal(select(q49,head),index_297),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(185,axiom,
    equal(select(q49,tail),index_299),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(186,axiom,
    equal(select(q0,tail),index_3),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(187,axiom,
    equal(s(index_27),index_30),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(188,axiom,
    equal(s(index_300),index_299),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(189,axiom,
    equal(select(q13,tail),index_33),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(190,axiom,
    equal(s(index_33),index_36),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(191,axiom,
    equal(select(q14,tail),index_39),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(192,axiom,
    equal(s(index_39),index_42),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(193,axiom,
    equal(select(q15,tail),index_45),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(194,axiom,
    equal(s(index_45),index_48),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(195,axiom,
    equal(select(q16,tail),index_51),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(196,axiom,
    equal(s(index_51),index_54),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(197,axiom,
    equal(select(q17,tail),index_57),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(198,axiom,
    equal(s(index_3),index_6),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(199,axiom,
    equal(s(index_57),index_60),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(200,axiom,
    equal(select(q18,tail),index_63),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(201,axiom,
    equal(s(index_63),index_66),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(202,axiom,
    equal(select(q1,tail),index_69),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(203,axiom,
    equal(s(index_69),index_72),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(204,axiom,
    equal(select(q19,tail),index_75),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(205,axiom,
    equal(s(index_75),index_78),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(206,axiom,
    equal(select(q20,tail),index_81),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(207,axiom,
    equal(s(index_81),index_84),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(208,axiom,
    equal(select(q21,tail),index_87),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(209,axiom,
    equal(select(q9,tail),index_9),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(210,axiom,
    equal(s(index_87),index_90),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(211,axiom,
    equal(select(q22,tail),index_93),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(212,axiom,
    equal(s(index_93),index_96),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(213,axiom,
    equal(select(q23,tail),index_99),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(214,axiom,
    equal(store(q,head,index_0),queue_1),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(215,axiom,
    equal(store(q23,seq,earray_100),queue_101),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(216,axiom,
    equal(store(queue_101,tail,index_102),queue_103),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(217,axiom,
    equal(store(q24,seq,earray_106),queue_107),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(218,axiom,
    equal(store(queue_107,tail,index_108),queue_109),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(219,axiom,
    equal(store(q9,seq,earray_10),queue_11),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(220,axiom,
    equal(store(q25,seq,earray_112),queue_113),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(221,axiom,
    equal(store(queue_113,tail,index_114),queue_115),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(222,axiom,
    equal(store(q26,seq,earray_118),queue_119),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(223,axiom,
    equal(store(queue_119,tail,index_120),queue_121),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(224,axiom,
    equal(store(q27,seq,earray_124),queue_125),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(225,axiom,
    equal(store(queue_125,tail,index_126),queue_127),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(226,axiom,
    equal(store(queue_11,tail,index_12),queue_13),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(227,axiom,
    equal(store(q28,seq,earray_130),queue_131),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(228,axiom,
    equal(store(queue_131,tail,index_132),queue_133),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(229,axiom,
    equal(store(q2,seq,earray_136),queue_137),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(230,axiom,
    equal(store(queue_137,tail,index_138),queue_139),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(231,axiom,
    equal(store(q29,seq,earray_142),queue_143),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(232,axiom,
    equal(store(queue_143,tail,index_144),queue_145),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(233,axiom,
    equal(store(q30,seq,earray_148),queue_149),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(234,axiom,
    equal(store(queue_149,tail,index_150),queue_151),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(235,axiom,
    equal(store(q31,seq,earray_154),queue_155),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(236,axiom,
    equal(store(queue_155,tail,index_156),queue_157),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(237,axiom,
    equal(store(q32,seq,earray_160),queue_161),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(238,axiom,
    equal(store(queue_161,tail,index_162),queue_163),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(239,axiom,
    equal(store(q33,seq,earray_166),queue_167),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(240,axiom,
    equal(store(queue_167,tail,index_168),queue_169),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(241,axiom,
    equal(store(q10,seq,earray_16),queue_17),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(242,axiom,
    equal(store(q34,seq,earray_172),queue_173),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(243,axiom,
    equal(store(queue_173,tail,index_174),queue_175),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(244,axiom,
    equal(store(q35,seq,earray_178),queue_179),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(245,axiom,
    equal(store(queue_179,tail,index_180),queue_181),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(246,axiom,
    equal(store(q36,seq,earray_184),queue_185),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(247,axiom,
    equal(store(queue_185,tail,index_186),queue_187),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(248,axiom,
    equal(store(queue_17,tail,index_18),queue_19),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(249,axiom,
    equal(store(q37,seq,earray_190),queue_191),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(250,axiom,
    equal(store(queue_191,tail,index_192),queue_193),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(251,axiom,
    equal(store(q38,seq,earray_196),queue_197),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(252,axiom,
    equal(store(queue_197,tail,index_198),queue_199),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(253,axiom,
    equal(store(q3,seq,earray_202),queue_203),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(254,axiom,
    equal(store(queue_203,tail,index_204),queue_205),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(255,axiom,
    equal(store(q39,seq,earray_208),queue_209),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(256,axiom,
    equal(store(queue_209,tail,index_210),queue_211),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(257,axiom,
    equal(store(q40,seq,earray_214),queue_215),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(258,axiom,
    equal(store(queue_215,tail,index_216),queue_217),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(259,axiom,
    equal(store(q41,seq,earray_220),queue_221),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(260,axiom,
    equal(store(queue_221,tail,index_222),queue_223),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(261,axiom,
    equal(store(q42,seq,earray_226),queue_227),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(262,axiom,
    equal(store(queue_227,tail,index_228),queue_229),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(263,axiom,
    equal(store(q11,seq,earray_22),queue_23),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(264,axiom,
    equal(store(q43,seq,earray_232),queue_233),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(265,axiom,
    equal(store(queue_233,tail,index_234),queue_235),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(266,axiom,
    equal(store(q44,seq,earray_238),queue_239),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(267,axiom,
    equal(store(queue_239,tail,index_240),queue_241),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(268,axiom,
    equal(store(q45,seq,earray_244),queue_245),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(269,axiom,
    equal(store(queue_245,tail,index_246),queue_247),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(270,axiom,
    equal(store(queue_23,tail,index_24),queue_25),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(271,axiom,
    equal(store(q46,seq,earray_250),queue_251),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(272,axiom,
    equal(store(queue_251,tail,index_252),queue_253),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(273,axiom,
    equal(store(q47,seq,earray_256),queue_257),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(274,axiom,
    equal(store(queue_257,tail,index_258),queue_259),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(275,axiom,
    equal(store(q48,seq,earray_262),queue_263),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(276,axiom,
    equal(store(queue_263,tail,index_264),queue_265),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(277,axiom,
    equal(store(q4,seq,earray_268),queue_269),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(278,axiom,
    equal(store(queue_269,tail,index_270),queue_271),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(279,axiom,
    equal(store(q5,seq,earray_274),queue_275),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(280,axiom,
    equal(store(queue_275,tail,index_276),queue_277),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(281,axiom,
    equal(store(q6,seq,earray_280),queue_281),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(282,axiom,
    equal(store(queue_281,tail,index_282),queue_283),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(283,axiom,
    equal(store(q7,seq,earray_286),queue_287),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(284,axiom,
    equal(store(queue_287,tail,index_288),queue_289),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(285,axiom,
    equal(store(q12,seq,earray_28),queue_29),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(286,axiom,
    equal(store(q8,seq,earray_292),queue_293),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(287,axiom,
    equal(store(queue_293,tail,index_294),queue_295),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(288,axiom,
    equal(store(queue_29,tail,index_30),queue_31),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(289,axiom,
    equal(store(q13,seq,earray_34),queue_35),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(290,axiom,
    equal(store(queue_35,tail,index_36),queue_37),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(291,axiom,
    equal(store(q14,seq,earray_40),queue_41),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(292,axiom,
    equal(store(queue_41,tail,index_42),queue_43),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(293,axiom,
    equal(store(q15,seq,earray_46),queue_47),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(294,axiom,
    equal(store(queue_47,tail,index_48),queue_49),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(295,axiom,
    equal(store(q0,seq,earray_4),queue_5),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(296,axiom,
    equal(store(q16,seq,earray_52),queue_53),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(297,axiom,
    equal(store(queue_53,tail,index_54),queue_55),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(298,axiom,
    equal(store(q17,seq,earray_58),queue_59),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(299,axiom,
    equal(store(queue_59,tail,index_60),queue_61),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(300,axiom,
    equal(store(q18,seq,earray_64),queue_65),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(301,axiom,
    equal(store(queue_65,tail,index_66),queue_67),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(302,axiom,
    equal(store(queue_5,tail,index_6),queue_7),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(303,axiom,
    equal(store(q1,seq,earray_70),queue_71),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(304,axiom,
    equal(store(queue_71,tail,index_72),queue_73),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(305,axiom,
    equal(store(q19,seq,earray_76),queue_77),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(306,axiom,
    equal(store(queue_77,tail,index_78),queue_79),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(307,axiom,
    equal(store(q20,seq,earray_82),queue_83),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(308,axiom,
    equal(store(queue_83,tail,index_84),queue_85),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(309,axiom,
    equal(store(q21,seq,earray_88),queue_89),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(310,axiom,
    equal(store(queue_89,tail,index_90),queue_91),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(311,axiom,
    equal(store(q22,seq,earray_94),queue_95),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(312,axiom,
    equal(store(queue_95,tail,index_96),queue_97),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(313,axiom,
    equal(queue_1,q0),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(314,axiom,
    equal(queue_7,q1),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(315,axiom,
    equal(queue_13,q10),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(316,axiom,
    equal(queue_19,q11),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(317,axiom,
    equal(queue_25,q12),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(318,axiom,
    equal(queue_31,q13),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(319,axiom,
    equal(queue_37,q14),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(320,axiom,
    equal(queue_43,q15),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(321,axiom,
    equal(queue_49,q16),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(322,axiom,
    equal(queue_55,q17),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(323,axiom,
    equal(queue_61,q18),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(324,axiom,
    equal(queue_67,q19),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(325,axiom,
    equal(queue_73,q2),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(326,axiom,
    equal(queue_79,q20),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(327,axiom,
    equal(queue_85,q21),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(328,axiom,
    equal(queue_91,q22),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(329,axiom,
    equal(queue_97,q23),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(330,axiom,
    equal(queue_103,q24),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(331,axiom,
    equal(queue_109,q25),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(332,axiom,
    equal(queue_115,q26),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(333,axiom,
    equal(queue_121,q27),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(334,axiom,
    equal(queue_127,q28),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(335,axiom,
    equal(queue_133,q29),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(336,axiom,
    equal(queue_139,q3),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(337,axiom,
    equal(queue_145,q30),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(338,axiom,
    equal(queue_151,q31),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(339,axiom,
    equal(queue_157,q32),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(340,axiom,
    equal(queue_163,q33),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(341,axiom,
    equal(queue_169,q34),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(342,axiom,
    equal(queue_175,q35),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(343,axiom,
    equal(queue_181,q36),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(344,axiom,
    equal(queue_187,q37),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(345,axiom,
    equal(queue_193,q38),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(346,axiom,
    equal(queue_199,q39),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(347,axiom,
    equal(queue_205,q4),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(348,axiom,
    equal(queue_211,q40),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(349,axiom,
    equal(queue_217,q41),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(350,axiom,
    equal(queue_223,q42),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(351,axiom,
    equal(queue_229,q43),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(352,axiom,
    equal(queue_235,q44),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(353,axiom,
    equal(queue_241,q45),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(354,axiom,
    equal(queue_247,q46),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(355,axiom,
    equal(queue_253,q47),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(356,axiom,
    equal(queue_259,q48),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(357,axiom,
    equal(queue_265,q49),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(358,axiom,
    equal(queue_271,q5),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(359,axiom,
    equal(queue_277,q6),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(360,axiom,
    equal(queue_283,q7),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(361,axiom,
    equal(queue_289,q8),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(362,axiom,
    equal(queue_295,q9),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(363,axiom,
    ~ equal(elem_301,elem_298),
    file('SWV571-1.049.p',unknown),
    [] ).

cnf(364,plain,
    equal(store(queue_95,tail,index_96),q23),
    inference(rew,[status(thm),theory(equality)],[329,312]),
    [iquote('0:Rew:329.0,312.0')] ).

cnf(365,plain,
    equal(store(queue_89,tail,index_90),q22),
    inference(rew,[status(thm),theory(equality)],[328,310]),
    [iquote('0:Rew:328.0,310.0')] ).

cnf(366,plain,
    equal(store(queue_83,tail,index_84),q21),
    inference(rew,[status(thm),theory(equality)],[327,308]),
    [iquote('0:Rew:327.0,308.0')] ).

cnf(367,plain,
    equal(store(queue_77,tail,index_78),q20),
    inference(rew,[status(thm),theory(equality)],[326,306]),
    [iquote('0:Rew:326.0,306.0')] ).

cnf(368,plain,
    equal(store(queue_71,tail,index_72),q2),
    inference(rew,[status(thm),theory(equality)],[325,304]),
    [iquote('0:Rew:325.0,304.0')] ).

cnf(369,plain,
    equal(store(queue_5,tail,index_6),q1),
    inference(rew,[status(thm),theory(equality)],[314,302]),
    [iquote('0:Rew:314.0,302.0')] ).

cnf(370,plain,
    equal(store(queue_65,tail,index_66),q19),
    inference(rew,[status(thm),theory(equality)],[324,301]),
    [iquote('0:Rew:324.0,301.0')] ).

cnf(371,plain,
    equal(store(queue_59,tail,index_60),q18),
    inference(rew,[status(thm),theory(equality)],[323,299]),
    [iquote('0:Rew:323.0,299.0')] ).

cnf(372,plain,
    equal(store(queue_53,tail,index_54),q17),
    inference(rew,[status(thm),theory(equality)],[322,297]),
    [iquote('0:Rew:322.0,297.0')] ).

cnf(373,plain,
    equal(store(queue_47,tail,index_48),q16),
    inference(rew,[status(thm),theory(equality)],[321,294]),
    [iquote('0:Rew:321.0,294.0')] ).

cnf(374,plain,
    equal(store(queue_41,tail,index_42),q15),
    inference(rew,[status(thm),theory(equality)],[320,292]),
    [iquote('0:Rew:320.0,292.0')] ).

cnf(375,plain,
    equal(store(queue_35,tail,index_36),q14),
    inference(rew,[status(thm),theory(equality)],[319,290]),
    [iquote('0:Rew:319.0,290.0')] ).

cnf(376,plain,
    equal(store(queue_29,tail,index_30),q13),
    inference(rew,[status(thm),theory(equality)],[318,288]),
    [iquote('0:Rew:318.0,288.0')] ).

cnf(377,plain,
    equal(store(queue_293,tail,index_294),q9),
    inference(rew,[status(thm),theory(equality)],[362,287]),
    [iquote('0:Rew:362.0,287.0')] ).

cnf(378,plain,
    equal(store(queue_287,tail,index_288),q8),
    inference(rew,[status(thm),theory(equality)],[361,284]),
    [iquote('0:Rew:361.0,284.0')] ).

cnf(379,plain,
    equal(store(queue_281,tail,index_282),q7),
    inference(rew,[status(thm),theory(equality)],[360,282]),
    [iquote('0:Rew:360.0,282.0')] ).

cnf(380,plain,
    equal(store(queue_275,tail,index_276),q6),
    inference(rew,[status(thm),theory(equality)],[359,280]),
    [iquote('0:Rew:359.0,280.0')] ).

cnf(381,plain,
    equal(store(queue_269,tail,index_270),q5),
    inference(rew,[status(thm),theory(equality)],[358,278]),
    [iquote('0:Rew:358.0,278.0')] ).

cnf(382,plain,
    equal(store(queue_263,tail,index_264),q49),
    inference(rew,[status(thm),theory(equality)],[357,276]),
    [iquote('0:Rew:357.0,276.0')] ).

cnf(383,plain,
    equal(store(queue_257,tail,index_258),q48),
    inference(rew,[status(thm),theory(equality)],[356,274]),
    [iquote('0:Rew:356.0,274.0')] ).

cnf(384,plain,
    equal(store(queue_251,tail,index_252),q47),
    inference(rew,[status(thm),theory(equality)],[355,272]),
    [iquote('0:Rew:355.0,272.0')] ).

cnf(385,plain,
    equal(store(queue_23,tail,index_24),q12),
    inference(rew,[status(thm),theory(equality)],[317,270]),
    [iquote('0:Rew:317.0,270.0')] ).

cnf(386,plain,
    equal(store(queue_245,tail,index_246),q46),
    inference(rew,[status(thm),theory(equality)],[354,269]),
    [iquote('0:Rew:354.0,269.0')] ).

cnf(387,plain,
    equal(store(queue_239,tail,index_240),q45),
    inference(rew,[status(thm),theory(equality)],[353,267]),
    [iquote('0:Rew:353.0,267.0')] ).

cnf(388,plain,
    equal(store(queue_233,tail,index_234),q44),
    inference(rew,[status(thm),theory(equality)],[352,265]),
    [iquote('0:Rew:352.0,265.0')] ).

cnf(389,plain,
    equal(store(queue_227,tail,index_228),q43),
    inference(rew,[status(thm),theory(equality)],[351,262]),
    [iquote('0:Rew:351.0,262.0')] ).

cnf(390,plain,
    equal(store(queue_221,tail,index_222),q42),
    inference(rew,[status(thm),theory(equality)],[350,260]),
    [iquote('0:Rew:350.0,260.0')] ).

cnf(391,plain,
    equal(store(queue_215,tail,index_216),q41),
    inference(rew,[status(thm),theory(equality)],[349,258]),
    [iquote('0:Rew:349.0,258.0')] ).

cnf(392,plain,
    equal(store(queue_209,tail,index_210),q40),
    inference(rew,[status(thm),theory(equality)],[348,256]),
    [iquote('0:Rew:348.0,256.0')] ).

cnf(393,plain,
    equal(store(queue_203,tail,index_204),q4),
    inference(rew,[status(thm),theory(equality)],[347,254]),
    [iquote('0:Rew:347.0,254.0')] ).

cnf(394,plain,
    equal(store(queue_197,tail,index_198),q39),
    inference(rew,[status(thm),theory(equality)],[346,252]),
    [iquote('0:Rew:346.0,252.0')] ).

cnf(395,plain,
    equal(store(queue_191,tail,index_192),q38),
    inference(rew,[status(thm),theory(equality)],[345,250]),
    [iquote('0:Rew:345.0,250.0')] ).

cnf(396,plain,
    equal(store(queue_17,tail,index_18),q11),
    inference(rew,[status(thm),theory(equality)],[316,248]),
    [iquote('0:Rew:316.0,248.0')] ).

cnf(397,plain,
    equal(store(queue_185,tail,index_186),q37),
    inference(rew,[status(thm),theory(equality)],[344,247]),
    [iquote('0:Rew:344.0,247.0')] ).

cnf(398,plain,
    equal(store(queue_179,tail,index_180),q36),
    inference(rew,[status(thm),theory(equality)],[343,245]),
    [iquote('0:Rew:343.0,245.0')] ).

cnf(399,plain,
    equal(store(queue_173,tail,index_174),q35),
    inference(rew,[status(thm),theory(equality)],[342,243]),
    [iquote('0:Rew:342.0,243.0')] ).

cnf(400,plain,
    equal(store(queue_167,tail,index_168),q34),
    inference(rew,[status(thm),theory(equality)],[341,240]),
    [iquote('0:Rew:341.0,240.0')] ).

cnf(401,plain,
    equal(store(queue_161,tail,index_162),q33),
    inference(rew,[status(thm),theory(equality)],[340,238]),
    [iquote('0:Rew:340.0,238.0')] ).

cnf(402,plain,
    equal(store(queue_155,tail,index_156),q32),
    inference(rew,[status(thm),theory(equality)],[339,236]),
    [iquote('0:Rew:339.0,236.0')] ).

cnf(403,plain,
    equal(store(queue_149,tail,index_150),q31),
    inference(rew,[status(thm),theory(equality)],[338,234]),
    [iquote('0:Rew:338.0,234.0')] ).

cnf(404,plain,
    equal(store(queue_143,tail,index_144),q30),
    inference(rew,[status(thm),theory(equality)],[337,232]),
    [iquote('0:Rew:337.0,232.0')] ).

cnf(405,plain,
    equal(store(queue_137,tail,index_138),q3),
    inference(rew,[status(thm),theory(equality)],[336,230]),
    [iquote('0:Rew:336.0,230.0')] ).

cnf(406,plain,
    equal(store(queue_131,tail,index_132),q29),
    inference(rew,[status(thm),theory(equality)],[335,228]),
    [iquote('0:Rew:335.0,228.0')] ).

cnf(407,plain,
    equal(store(queue_11,tail,index_12),q10),
    inference(rew,[status(thm),theory(equality)],[315,226]),
    [iquote('0:Rew:315.0,226.0')] ).

cnf(408,plain,
    equal(store(queue_125,tail,index_126),q28),
    inference(rew,[status(thm),theory(equality)],[334,225]),
    [iquote('0:Rew:334.0,225.0')] ).

cnf(409,plain,
    equal(store(queue_119,tail,index_120),q27),
    inference(rew,[status(thm),theory(equality)],[333,223]),
    [iquote('0:Rew:333.0,223.0')] ).

cnf(410,plain,
    equal(store(queue_113,tail,index_114),q26),
    inference(rew,[status(thm),theory(equality)],[332,221]),
    [iquote('0:Rew:332.0,221.0')] ).

cnf(411,plain,
    equal(store(queue_107,tail,index_108),q25),
    inference(rew,[status(thm),theory(equality)],[331,218]),
    [iquote('0:Rew:331.0,218.0')] ).

cnf(412,plain,
    equal(store(queue_101,tail,index_102),q24),
    inference(rew,[status(thm),theory(equality)],[330,216]),
    [iquote('0:Rew:330.0,216.0')] ).

cnf(413,plain,
    equal(store(q,head,index_0),q0),
    inference(rew,[status(thm),theory(equality)],[313,214]),
    [iquote('0:Rew:313.0,214.0')] ).

cnf(627,plain,
    equal(p(index_72),index_69),
    inference(spr,[status(thm),theory(equality)],[203,6]),
    [iquote('0:SpR:203.0,6.0')] ).

cnf(630,plain,
    equal(p(index_6),index_3),
    inference(spr,[status(thm),theory(equality)],[198,6]),
    [iquote('0:SpR:198.0,6.0')] ).

cnf(635,plain,
    equal(p(index_299),index_300),
    inference(spr,[status(thm),theory(equality)],[188,6]),
    [iquote('0:SpR:188.0,6.0')] ).

cnf(642,plain,
    equal(p(index_264),index_261),
    inference(spr,[status(thm),theory(equality)],[172,6]),
    [iquote('0:SpR:172.0,6.0')] ).

cnf(653,plain,
    equal(p(index_204),index_201),
    inference(spr,[status(thm),theory(equality)],[150,6]),
    [iquote('0:SpR:150.0,6.0')] ).

cnf(1024,plain,
    equal(s(s(u)),p(u)),
    inference(spr,[status(thm),theory(equality)],[10,6]),
    [iquote('0:SpR:10.0,6.0')] ).

cnf(1178,plain,
    equal(p(index_135),s(index_138)),
    inference(spr,[status(thm),theory(equality)],[126,1024]),
    [iquote('0:SpR:126.0,1024.0')] ).

cnf(1198,plain,
    equal(select(q23,tail),index_96),
    inference(spr,[status(thm),theory(equality)],[364,1]),
    [iquote('0:SpR:364.0,1.0')] ).

cnf(1199,plain,
    equal(select(q22,tail),index_90),
    inference(spr,[status(thm),theory(equality)],[365,1]),
    [iquote('0:SpR:365.0,1.0')] ).

cnf(1200,plain,
    equal(select(q21,tail),index_84),
    inference(spr,[status(thm),theory(equality)],[366,1]),
    [iquote('0:SpR:366.0,1.0')] ).

cnf(1201,plain,
    equal(select(q20,tail),index_78),
    inference(spr,[status(thm),theory(equality)],[367,1]),
    [iquote('0:SpR:367.0,1.0')] ).

cnf(1202,plain,
    equal(select(q2,tail),index_72),
    inference(spr,[status(thm),theory(equality)],[368,1]),
    [iquote('0:SpR:368.0,1.0')] ).

cnf(1203,plain,
    equal(select(q1,tail),index_6),
    inference(spr,[status(thm),theory(equality)],[369,1]),
    [iquote('0:SpR:369.0,1.0')] ).

cnf(1204,plain,
    equal(select(q19,tail),index_66),
    inference(spr,[status(thm),theory(equality)],[370,1]),
    [iquote('0:SpR:370.0,1.0')] ).

cnf(1205,plain,
    equal(select(q18,tail),index_60),
    inference(spr,[status(thm),theory(equality)],[371,1]),
    [iquote('0:SpR:371.0,1.0')] ).

cnf(1206,plain,
    equal(select(q17,tail),index_54),
    inference(spr,[status(thm),theory(equality)],[372,1]),
    [iquote('0:SpR:372.0,1.0')] ).

cnf(1207,plain,
    equal(select(q16,tail),index_48),
    inference(spr,[status(thm),theory(equality)],[373,1]),
    [iquote('0:SpR:373.0,1.0')] ).

cnf(1208,plain,
    equal(select(q15,tail),index_42),
    inference(spr,[status(thm),theory(equality)],[374,1]),
    [iquote('0:SpR:374.0,1.0')] ).

cnf(1209,plain,
    equal(select(q14,tail),index_36),
    inference(spr,[status(thm),theory(equality)],[375,1]),
    [iquote('0:SpR:375.0,1.0')] ).

cnf(1210,plain,
    equal(select(q13,tail),index_30),
    inference(spr,[status(thm),theory(equality)],[376,1]),
    [iquote('0:SpR:376.0,1.0')] ).

cnf(1211,plain,
    equal(select(q9,tail),index_294),
    inference(spr,[status(thm),theory(equality)],[377,1]),
    [iquote('0:SpR:377.0,1.0')] ).

cnf(1212,plain,
    equal(select(q8,tail),index_288),
    inference(spr,[status(thm),theory(equality)],[378,1]),
    [iquote('0:SpR:378.0,1.0')] ).

cnf(1213,plain,
    equal(select(q7,tail),index_282),
    inference(spr,[status(thm),theory(equality)],[379,1]),
    [iquote('0:SpR:379.0,1.0')] ).

cnf(1214,plain,
    equal(select(q6,tail),index_276),
    inference(spr,[status(thm),theory(equality)],[380,1]),
    [iquote('0:SpR:380.0,1.0')] ).

cnf(1215,plain,
    equal(select(q5,tail),index_270),
    inference(spr,[status(thm),theory(equality)],[381,1]),
    [iquote('0:SpR:381.0,1.0')] ).

cnf(1216,plain,
    equal(select(q49,tail),index_264),
    inference(spr,[status(thm),theory(equality)],[382,1]),
    [iquote('0:SpR:382.0,1.0')] ).

cnf(1217,plain,
    equal(select(q48,tail),index_258),
    inference(spr,[status(thm),theory(equality)],[383,1]),
    [iquote('0:SpR:383.0,1.0')] ).

cnf(1218,plain,
    equal(select(q47,tail),index_252),
    inference(spr,[status(thm),theory(equality)],[384,1]),
    [iquote('0:SpR:384.0,1.0')] ).

cnf(1219,plain,
    equal(select(q12,tail),index_24),
    inference(spr,[status(thm),theory(equality)],[385,1]),
    [iquote('0:SpR:385.0,1.0')] ).

cnf(1220,plain,
    equal(select(q46,tail),index_246),
    inference(spr,[status(thm),theory(equality)],[386,1]),
    [iquote('0:SpR:386.0,1.0')] ).

cnf(1221,plain,
    equal(select(q45,tail),index_240),
    inference(spr,[status(thm),theory(equality)],[387,1]),
    [iquote('0:SpR:387.0,1.0')] ).

cnf(1222,plain,
    equal(select(q44,tail),index_234),
    inference(spr,[status(thm),theory(equality)],[388,1]),
    [iquote('0:SpR:388.0,1.0')] ).

cnf(1223,plain,
    equal(select(q43,tail),index_228),
    inference(spr,[status(thm),theory(equality)],[389,1]),
    [iquote('0:SpR:389.0,1.0')] ).

cnf(1224,plain,
    equal(select(q42,tail),index_222),
    inference(spr,[status(thm),theory(equality)],[390,1]),
    [iquote('0:SpR:390.0,1.0')] ).

cnf(1225,plain,
    equal(select(q41,tail),index_216),
    inference(spr,[status(thm),theory(equality)],[391,1]),
    [iquote('0:SpR:391.0,1.0')] ).

cnf(1226,plain,
    equal(select(q40,tail),index_210),
    inference(spr,[status(thm),theory(equality)],[392,1]),
    [iquote('0:SpR:392.0,1.0')] ).

cnf(1227,plain,
    equal(select(q4,tail),index_204),
    inference(spr,[status(thm),theory(equality)],[393,1]),
    [iquote('0:SpR:393.0,1.0')] ).

cnf(1228,plain,
    equal(select(q39,tail),index_198),
    inference(spr,[status(thm),theory(equality)],[394,1]),
    [iquote('0:SpR:394.0,1.0')] ).

cnf(1229,plain,
    equal(select(q38,tail),index_192),
    inference(spr,[status(thm),theory(equality)],[395,1]),
    [iquote('0:SpR:395.0,1.0')] ).

cnf(1230,plain,
    equal(select(q11,tail),index_18),
    inference(spr,[status(thm),theory(equality)],[396,1]),
    [iquote('0:SpR:396.0,1.0')] ).

cnf(1231,plain,
    equal(select(q37,tail),index_186),
    inference(spr,[status(thm),theory(equality)],[397,1]),
    [iquote('0:SpR:397.0,1.0')] ).

cnf(1232,plain,
    equal(select(q36,tail),index_180),
    inference(spr,[status(thm),theory(equality)],[398,1]),
    [iquote('0:SpR:398.0,1.0')] ).

cnf(1233,plain,
    equal(select(q35,tail),index_174),
    inference(spr,[status(thm),theory(equality)],[399,1]),
    [iquote('0:SpR:399.0,1.0')] ).

cnf(1234,plain,
    equal(select(q34,tail),index_168),
    inference(spr,[status(thm),theory(equality)],[400,1]),
    [iquote('0:SpR:400.0,1.0')] ).

cnf(1235,plain,
    equal(select(q33,tail),index_162),
    inference(spr,[status(thm),theory(equality)],[401,1]),
    [iquote('0:SpR:401.0,1.0')] ).

cnf(1236,plain,
    equal(select(q32,tail),index_156),
    inference(spr,[status(thm),theory(equality)],[402,1]),
    [iquote('0:SpR:402.0,1.0')] ).

cnf(1237,plain,
    equal(select(q31,tail),index_150),
    inference(spr,[status(thm),theory(equality)],[403,1]),
    [iquote('0:SpR:403.0,1.0')] ).

cnf(1238,plain,
    equal(select(q30,tail),index_144),
    inference(spr,[status(thm),theory(equality)],[404,1]),
    [iquote('0:SpR:404.0,1.0')] ).

cnf(1239,plain,
    equal(select(q3,tail),index_138),
    inference(spr,[status(thm),theory(equality)],[405,1]),
    [iquote('0:SpR:405.0,1.0')] ).

cnf(1240,plain,
    equal(select(q29,tail),index_132),
    inference(spr,[status(thm),theory(equality)],[406,1]),
    [iquote('0:SpR:406.0,1.0')] ).

cnf(1241,plain,
    equal(select(q10,tail),index_12),
    inference(spr,[status(thm),theory(equality)],[407,1]),
    [iquote('0:SpR:407.0,1.0')] ).

cnf(1242,plain,
    equal(select(q28,tail),index_126),
    inference(spr,[status(thm),theory(equality)],[408,1]),
    [iquote('0:SpR:408.0,1.0')] ).

cnf(1243,plain,
    equal(select(q27,tail),index_120),
    inference(spr,[status(thm),theory(equality)],[409,1]),
    [iquote('0:SpR:409.0,1.0')] ).

cnf(1244,plain,
    equal(select(q26,tail),index_114),
    inference(spr,[status(thm),theory(equality)],[410,1]),
    [iquote('0:SpR:410.0,1.0')] ).

cnf(1245,plain,
    equal(select(q25,tail),index_108),
    inference(spr,[status(thm),theory(equality)],[411,1]),
    [iquote('0:SpR:411.0,1.0')] ).

cnf(1246,plain,
    equal(select(q24,tail),index_102),
    inference(spr,[status(thm),theory(equality)],[412,1]),
    [iquote('0:SpR:412.0,1.0')] ).

cnf(1265,plain,
    equal(select(queue_263,seq),earray_262),
    inference(spr,[status(thm),theory(equality)],[275,1]),
    [iquote('0:SpR:275.0,1.0')] ).

cnf(1296,plain,
    equal(select(q0,head),index_0),
    inference(spr,[status(thm),theory(equality)],[413,1]),
    [iquote('0:SpR:413.0,1.0')] ).

cnf(1315,plain,
    equal(select(earray_262,index_261),e48),
    inference(spr,[status(thm),theory(equality)],[72,1]),
    [iquote('0:SpR:72.0,1.0')] ).

cnf(1346,plain,
    equal(index_96,index_99),
    inference(rew,[status(thm),theory(equality)],[213,1198]),
    [iquote('0:Rew:213.0,1198.0')] ).

cnf(1347,plain,
    equal(s(index_93),index_99),
    inference(rew,[status(thm),theory(equality)],[1346,212]),
    [iquote('0:Rew:1346.0,212.0')] ).

cnf(1349,plain,
    equal(store(queue_95,tail,index_99),q23),
    inference(rew,[status(thm),theory(equality)],[1346,364]),
    [iquote('0:Rew:1346.0,364.0')] ).

cnf(1355,plain,
    equal(index_90,index_93),
    inference(rew,[status(thm),theory(equality)],[211,1199]),
    [iquote('0:Rew:211.0,1199.0')] ).

cnf(1356,plain,
    equal(s(index_87),index_93),
    inference(rew,[status(thm),theory(equality)],[1355,210]),
    [iquote('0:Rew:1355.0,210.0')] ).

cnf(1358,plain,
    equal(store(queue_89,tail,index_93),q22),
    inference(rew,[status(thm),theory(equality)],[1355,365]),
    [iquote('0:Rew:1355.0,365.0')] ).

cnf(1362,plain,
    equal(index_84,index_87),
    inference(rew,[status(thm),theory(equality)],[208,1200]),
    [iquote('0:Rew:208.0,1200.0')] ).

cnf(1363,plain,
    equal(s(index_81),index_87),
    inference(rew,[status(thm),theory(equality)],[1362,207]),
    [iquote('0:Rew:1362.0,207.0')] ).

cnf(1365,plain,
    equal(store(queue_83,tail,index_87),q21),
    inference(rew,[status(thm),theory(equality)],[1362,366]),
    [iquote('0:Rew:1362.0,366.0')] ).

cnf(1368,plain,
    equal(index_78,index_81),
    inference(rew,[status(thm),theory(equality)],[206,1201]),
    [iquote('0:Rew:206.0,1201.0')] ).

cnf(1369,plain,
    equal(s(index_75),index_81),
    inference(rew,[status(thm),theory(equality)],[1368,205]),
    [iquote('0:Rew:1368.0,205.0')] ).

cnf(1371,plain,
    equal(store(queue_77,tail,index_81),q20),
    inference(rew,[status(thm),theory(equality)],[1368,367]),
    [iquote('0:Rew:1368.0,367.0')] ).

cnf(1374,plain,
    equal(index_72,index_135),
    inference(rew,[status(thm),theory(equality)],[125,1202]),
    [iquote('0:Rew:125.0,1202.0')] ).

cnf(1375,plain,
    equal(s(index_69),index_135),
    inference(rew,[status(thm),theory(equality)],[1374,203]),
    [iquote('0:Rew:1374.0,203.0')] ).

cnf(1376,plain,
    equal(p(index_135),index_69),
    inference(rew,[status(thm),theory(equality)],[1374,627]),
    [iquote('0:Rew:1374.0,627.0')] ).

cnf(1377,plain,
    equal(store(queue_71,tail,index_135),q2),
    inference(rew,[status(thm),theory(equality)],[1374,368]),
    [iquote('0:Rew:1374.0,368.0')] ).

cnf(1380,plain,
    equal(s(index_138),index_69),
    inference(rew,[status(thm),theory(equality)],[1178,1376]),
    [iquote('0:Rew:1178.0,1376.0')] ).

cnf(1382,plain,
    equal(index_6,index_69),
    inference(rew,[status(thm),theory(equality)],[202,1203]),
    [iquote('0:Rew:202.0,1203.0')] ).

cnf(1384,plain,
    equal(p(index_69),index_3),
    inference(rew,[status(thm),theory(equality)],[1382,630]),
    [iquote('0:Rew:1382.0,630.0')] ).

cnf(1385,plain,
    equal(store(queue_5,tail,index_69),q1),
    inference(rew,[status(thm),theory(equality)],[1382,369]),
    [iquote('0:Rew:1382.0,369.0')] ).

cnf(1388,plain,
    equal(index_66,index_75),
    inference(rew,[status(thm),theory(equality)],[204,1204]),
    [iquote('0:Rew:204.0,1204.0')] ).

cnf(1389,plain,
    equal(s(index_63),index_75),
    inference(rew,[status(thm),theory(equality)],[1388,201]),
    [iquote('0:Rew:1388.0,201.0')] ).

cnf(1391,plain,
    equal(store(queue_65,tail,index_75),q19),
    inference(rew,[status(thm),theory(equality)],[1388,370]),
    [iquote('0:Rew:1388.0,370.0')] ).

cnf(1394,plain,
    equal(index_60,index_63),
    inference(rew,[status(thm),theory(equality)],[200,1205]),
    [iquote('0:Rew:200.0,1205.0')] ).

cnf(1395,plain,
    equal(s(index_57),index_63),
    inference(rew,[status(thm),theory(equality)],[1394,199]),
    [iquote('0:Rew:1394.0,199.0')] ).

cnf(1398,plain,
    equal(store(queue_59,tail,index_63),q18),
    inference(rew,[status(thm),theory(equality)],[1394,371]),
    [iquote('0:Rew:1394.0,371.0')] ).

cnf(1400,plain,
    equal(index_54,index_57),
    inference(rew,[status(thm),theory(equality)],[197,1206]),
    [iquote('0:Rew:197.0,1206.0')] ).

cnf(1401,plain,
    equal(s(index_51),index_57),
    inference(rew,[status(thm),theory(equality)],[1400,196]),
    [iquote('0:Rew:1400.0,196.0')] ).

cnf(1404,plain,
    equal(store(queue_53,tail,index_57),q17),
    inference(rew,[status(thm),theory(equality)],[1400,372]),
    [iquote('0:Rew:1400.0,372.0')] ).

cnf(1406,plain,
    equal(index_48,index_51),
    inference(rew,[status(thm),theory(equality)],[195,1207]),
    [iquote('0:Rew:195.0,1207.0')] ).

cnf(1407,plain,
    equal(s(index_45),index_51),
    inference(rew,[status(thm),theory(equality)],[1406,194]),
    [iquote('0:Rew:1406.0,194.0')] ).

cnf(1410,plain,
    equal(store(queue_47,tail,index_51),q16),
    inference(rew,[status(thm),theory(equality)],[1406,373]),
    [iquote('0:Rew:1406.0,373.0')] ).

cnf(1412,plain,
    equal(index_42,index_45),
    inference(rew,[status(thm),theory(equality)],[193,1208]),
    [iquote('0:Rew:193.0,1208.0')] ).

cnf(1413,plain,
    equal(s(index_39),index_45),
    inference(rew,[status(thm),theory(equality)],[1412,192]),
    [iquote('0:Rew:1412.0,192.0')] ).

cnf(1416,plain,
    equal(store(queue_41,tail,index_45),q15),
    inference(rew,[status(thm),theory(equality)],[1412,374]),
    [iquote('0:Rew:1412.0,374.0')] ).

cnf(1418,plain,
    equal(index_36,index_39),
    inference(rew,[status(thm),theory(equality)],[191,1209]),
    [iquote('0:Rew:191.0,1209.0')] ).

cnf(1419,plain,
    equal(s(index_33),index_39),
    inference(rew,[status(thm),theory(equality)],[1418,190]),
    [iquote('0:Rew:1418.0,190.0')] ).

cnf(1422,plain,
    equal(store(queue_35,tail,index_39),q14),
    inference(rew,[status(thm),theory(equality)],[1418,375]),
    [iquote('0:Rew:1418.0,375.0')] ).

cnf(1424,plain,
    equal(index_30,index_33),
    inference(rew,[status(thm),theory(equality)],[189,1210]),
    [iquote('0:Rew:189.0,1210.0')] ).

cnf(1425,plain,
    equal(s(index_27),index_33),
    inference(rew,[status(thm),theory(equality)],[1424,187]),
    [iquote('0:Rew:1424.0,187.0')] ).

cnf(1428,plain,
    equal(store(queue_29,tail,index_33),q13),
    inference(rew,[status(thm),theory(equality)],[1424,376]),
    [iquote('0:Rew:1424.0,376.0')] ).

cnf(1430,plain,
    equal(index_294,index_9),
    inference(rew,[status(thm),theory(equality)],[209,1211]),
    [iquote('0:Rew:209.0,1211.0')] ).

cnf(1431,plain,
    equal(s(index_291),index_9),
    inference(rew,[status(thm),theory(equality)],[1430,183]),
    [iquote('0:Rew:1430.0,183.0')] ).

cnf(1434,plain,
    equal(store(queue_293,tail,index_9),q9),
    inference(rew,[status(thm),theory(equality)],[1430,377]),
    [iquote('0:Rew:1430.0,377.0')] ).

cnf(1438,plain,
    equal(index_288,index_291),
    inference(rew,[status(thm),theory(equality)],[182,1212]),
    [iquote('0:Rew:182.0,1212.0')] ).

cnf(1439,plain,
    equal(s(index_285),index_291),
    inference(rew,[status(thm),theory(equality)],[1438,181]),
    [iquote('0:Rew:1438.0,181.0')] ).

cnf(1442,plain,
    equal(store(queue_287,tail,index_291),q8),
    inference(rew,[status(thm),theory(equality)],[1438,378]),
    [iquote('0:Rew:1438.0,378.0')] ).

cnf(1444,plain,
    equal(index_282,index_285),
    inference(rew,[status(thm),theory(equality)],[180,1213]),
    [iquote('0:Rew:180.0,1213.0')] ).

cnf(1445,plain,
    equal(s(index_279),index_285),
    inference(rew,[status(thm),theory(equality)],[1444,179]),
    [iquote('0:Rew:1444.0,179.0')] ).

cnf(1448,plain,
    equal(store(queue_281,tail,index_285),q7),
    inference(rew,[status(thm),theory(equality)],[1444,379]),
    [iquote('0:Rew:1444.0,379.0')] ).

cnf(1450,plain,
    equal(index_276,index_279),
    inference(rew,[status(thm),theory(equality)],[178,1214]),
    [iquote('0:Rew:178.0,1214.0')] ).

cnf(1451,plain,
    equal(s(index_273),index_279),
    inference(rew,[status(thm),theory(equality)],[1450,177]),
    [iquote('0:Rew:1450.0,177.0')] ).

cnf(1454,plain,
    equal(store(queue_275,tail,index_279),q6),
    inference(rew,[status(thm),theory(equality)],[1450,380]),
    [iquote('0:Rew:1450.0,380.0')] ).

cnf(1456,plain,
    equal(index_270,index_273),
    inference(rew,[status(thm),theory(equality)],[176,1215]),
    [iquote('0:Rew:176.0,1215.0')] ).

cnf(1457,plain,
    equal(s(index_267),index_273),
    inference(rew,[status(thm),theory(equality)],[1456,175]),
    [iquote('0:Rew:1456.0,175.0')] ).

cnf(1460,plain,
    equal(store(queue_269,tail,index_273),q5),
    inference(rew,[status(thm),theory(equality)],[1456,381]),
    [iquote('0:Rew:1456.0,381.0')] ).

cnf(1462,plain,
    equal(index_299,index_264),
    inference(rew,[status(thm),theory(equality)],[185,1216]),
    [iquote('0:Rew:185.0,1216.0')] ).

cnf(1465,plain,
    equal(p(index_264),index_300),
    inference(rew,[status(thm),theory(equality)],[1462,635]),
    [iquote('0:Rew:1462.0,635.0')] ).

cnf(1468,plain,
    equal(index_300,index_261),
    inference(rew,[status(thm),theory(equality)],[642,1465]),
    [iquote('0:Rew:642.0,1465.0')] ).

cnf(1469,plain,
    equal(select(earray_296,index_261),elem_301),
    inference(rew,[status(thm),theory(equality)],[1468,111]),
    [iquote('0:Rew:1468.0,111.0')] ).

cnf(1472,plain,
    equal(index_258,index_261),
    inference(rew,[status(thm),theory(equality)],[171,1217]),
    [iquote('0:Rew:171.0,1217.0')] ).

cnf(1473,plain,
    equal(s(index_255),index_261),
    inference(rew,[status(thm),theory(equality)],[1472,170]),
    [iquote('0:Rew:1472.0,170.0')] ).

cnf(1476,plain,
    equal(store(queue_257,tail,index_261),q48),
    inference(rew,[status(thm),theory(equality)],[1472,383]),
    [iquote('0:Rew:1472.0,383.0')] ).

cnf(1480,plain,
    equal(index_252,index_255),
    inference(rew,[status(thm),theory(equality)],[169,1218]),
    [iquote('0:Rew:169.0,1218.0')] ).

cnf(1481,plain,
    equal(s(index_249),index_255),
    inference(rew,[status(thm),theory(equality)],[1480,168]),
    [iquote('0:Rew:1480.0,168.0')] ).

cnf(1484,plain,
    equal(store(queue_251,tail,index_255),q47),
    inference(rew,[status(thm),theory(equality)],[1480,384]),
    [iquote('0:Rew:1480.0,384.0')] ).

cnf(1486,plain,
    equal(index_24,index_27),
    inference(rew,[status(thm),theory(equality)],[174,1219]),
    [iquote('0:Rew:174.0,1219.0')] ).

cnf(1487,plain,
    equal(s(index_21),index_27),
    inference(rew,[status(thm),theory(equality)],[1486,163]),
    [iquote('0:Rew:1486.0,163.0')] ).

cnf(1490,plain,
    equal(store(queue_23,tail,index_27),q12),
    inference(rew,[status(thm),theory(equality)],[1486,385]),
    [iquote('0:Rew:1486.0,385.0')] ).

cnf(1492,plain,
    equal(index_246,index_249),
    inference(rew,[status(thm),theory(equality)],[167,1220]),
    [iquote('0:Rew:167.0,1220.0')] ).

cnf(1493,plain,
    equal(s(index_243),index_249),
    inference(rew,[status(thm),theory(equality)],[1492,166]),
    [iquote('0:Rew:1492.0,166.0')] ).

cnf(1496,plain,
    equal(store(queue_245,tail,index_249),q46),
    inference(rew,[status(thm),theory(equality)],[1492,386]),
    [iquote('0:Rew:1492.0,386.0')] ).

cnf(1498,plain,
    equal(index_240,index_243),
    inference(rew,[status(thm),theory(equality)],[165,1221]),
    [iquote('0:Rew:165.0,1221.0')] ).

cnf(1499,plain,
    equal(s(index_237),index_243),
    inference(rew,[status(thm),theory(equality)],[1498,164]),
    [iquote('0:Rew:1498.0,164.0')] ).

cnf(1502,plain,
    equal(store(queue_239,tail,index_243),q45),
    inference(rew,[status(thm),theory(equality)],[1498,387]),
    [iquote('0:Rew:1498.0,387.0')] ).

cnf(1504,plain,
    equal(index_234,index_237),
    inference(rew,[status(thm),theory(equality)],[162,1222]),
    [iquote('0:Rew:162.0,1222.0')] ).

cnf(1505,plain,
    equal(s(index_231),index_237),
    inference(rew,[status(thm),theory(equality)],[1504,161]),
    [iquote('0:Rew:1504.0,161.0')] ).

cnf(1508,plain,
    equal(store(queue_233,tail,index_237),q44),
    inference(rew,[status(thm),theory(equality)],[1504,388]),
    [iquote('0:Rew:1504.0,388.0')] ).

cnf(1510,plain,
    equal(index_228,index_231),
    inference(rew,[status(thm),theory(equality)],[160,1223]),
    [iquote('0:Rew:160.0,1223.0')] ).

cnf(1511,plain,
    equal(s(index_225),index_231),
    inference(rew,[status(thm),theory(equality)],[1510,159]),
    [iquote('0:Rew:1510.0,159.0')] ).

cnf(1514,plain,
    equal(store(queue_227,tail,index_231),q43),
    inference(rew,[status(thm),theory(equality)],[1510,389]),
    [iquote('0:Rew:1510.0,389.0')] ).

cnf(1516,plain,
    equal(index_222,index_225),
    inference(rew,[status(thm),theory(equality)],[158,1224]),
    [iquote('0:Rew:158.0,1224.0')] ).

cnf(1517,plain,
    equal(s(index_219),index_225),
    inference(rew,[status(thm),theory(equality)],[1516,157]),
    [iquote('0:Rew:1516.0,157.0')] ).

cnf(1520,plain,
    equal(store(queue_221,tail,index_225),q42),
    inference(rew,[status(thm),theory(equality)],[1516,390]),
    [iquote('0:Rew:1516.0,390.0')] ).

cnf(1522,plain,
    equal(index_216,index_219),
    inference(rew,[status(thm),theory(equality)],[156,1225]),
    [iquote('0:Rew:156.0,1225.0')] ).

cnf(1523,plain,
    equal(s(index_213),index_219),
    inference(rew,[status(thm),theory(equality)],[1522,155]),
    [iquote('0:Rew:1522.0,155.0')] ).

cnf(1526,plain,
    equal(store(queue_215,tail,index_219),q41),
    inference(rew,[status(thm),theory(equality)],[1522,391]),
    [iquote('0:Rew:1522.0,391.0')] ).

cnf(1528,plain,
    equal(index_210,index_213),
    inference(rew,[status(thm),theory(equality)],[154,1226]),
    [iquote('0:Rew:154.0,1226.0')] ).

cnf(1529,plain,
    equal(s(index_207),index_213),
    inference(rew,[status(thm),theory(equality)],[1528,153]),
    [iquote('0:Rew:1528.0,153.0')] ).

cnf(1532,plain,
    equal(store(queue_209,tail,index_213),q40),
    inference(rew,[status(thm),theory(equality)],[1528,392]),
    [iquote('0:Rew:1528.0,392.0')] ).

cnf(1534,plain,
    equal(index_204,index_267),
    inference(rew,[status(thm),theory(equality)],[173,1227]),
    [iquote('0:Rew:173.0,1227.0')] ).

cnf(1535,plain,
    equal(s(index_201),index_267),
    inference(rew,[status(thm),theory(equality)],[1534,150]),
    [iquote('0:Rew:1534.0,150.0')] ).

cnf(1536,plain,
    equal(p(index_267),index_201),
    inference(rew,[status(thm),theory(equality)],[1534,653]),
    [iquote('0:Rew:1534.0,653.0')] ).

cnf(1538,plain,
    equal(store(queue_203,tail,index_267),q4),
    inference(rew,[status(thm),theory(equality)],[1534,393]),
    [iquote('0:Rew:1534.0,393.0')] ).

cnf(1540,plain,
    equal(index_198,index_207),
    inference(rew,[status(thm),theory(equality)],[151,1228]),
    [iquote('0:Rew:151.0,1228.0')] ).

cnf(1541,plain,
    equal(s(index_195),index_207),
    inference(rew,[status(thm),theory(equality)],[1540,148]),
    [iquote('0:Rew:1540.0,148.0')] ).

cnf(1544,plain,
    equal(store(queue_197,tail,index_207),q39),
    inference(rew,[status(thm),theory(equality)],[1540,394]),
    [iquote('0:Rew:1540.0,394.0')] ).

cnf(1546,plain,
    equal(index_192,index_195),
    inference(rew,[status(thm),theory(equality)],[147,1229]),
    [iquote('0:Rew:147.0,1229.0')] ).

cnf(1547,plain,
    equal(s(index_189),index_195),
    inference(rew,[status(thm),theory(equality)],[1546,146]),
    [iquote('0:Rew:1546.0,146.0')] ).

cnf(1550,plain,
    equal(store(queue_191,tail,index_195),q38),
    inference(rew,[status(thm),theory(equality)],[1546,395]),
    [iquote('0:Rew:1546.0,395.0')] ).

cnf(1552,plain,
    equal(index_18,index_21),
    inference(rew,[status(thm),theory(equality)],[152,1230]),
    [iquote('0:Rew:152.0,1230.0')] ).

cnf(1553,plain,
    equal(s(index_15),index_21),
    inference(rew,[status(thm),theory(equality)],[1552,141]),
    [iquote('0:Rew:1552.0,141.0')] ).

cnf(1556,plain,
    equal(store(queue_17,tail,index_21),q11),
    inference(rew,[status(thm),theory(equality)],[1552,396]),
    [iquote('0:Rew:1552.0,396.0')] ).

cnf(1558,plain,
    equal(index_186,index_189),
    inference(rew,[status(thm),theory(equality)],[145,1231]),
    [iquote('0:Rew:145.0,1231.0')] ).

cnf(1559,plain,
    equal(s(index_183),index_189),
    inference(rew,[status(thm),theory(equality)],[1558,144]),
    [iquote('0:Rew:1558.0,144.0')] ).

cnf(1562,plain,
    equal(store(queue_185,tail,index_189),q37),
    inference(rew,[status(thm),theory(equality)],[1558,397]),
    [iquote('0:Rew:1558.0,397.0')] ).

cnf(1564,plain,
    equal(index_180,index_183),
    inference(rew,[status(thm),theory(equality)],[143,1232]),
    [iquote('0:Rew:143.0,1232.0')] ).

cnf(1565,plain,
    equal(s(index_177),index_183),
    inference(rew,[status(thm),theory(equality)],[1564,142]),
    [iquote('0:Rew:1564.0,142.0')] ).

cnf(1568,plain,
    equal(store(queue_179,tail,index_183),q36),
    inference(rew,[status(thm),theory(equality)],[1564,398]),
    [iquote('0:Rew:1564.0,398.0')] ).

cnf(1570,plain,
    equal(index_174,index_177),
    inference(rew,[status(thm),theory(equality)],[140,1233]),
    [iquote('0:Rew:140.0,1233.0')] ).

cnf(1571,plain,
    equal(s(index_171),index_177),
    inference(rew,[status(thm),theory(equality)],[1570,139]),
    [iquote('0:Rew:1570.0,139.0')] ).

cnf(1574,plain,
    equal(store(queue_173,tail,index_177),q35),
    inference(rew,[status(thm),theory(equality)],[1570,399]),
    [iquote('0:Rew:1570.0,399.0')] ).

cnf(1576,plain,
    equal(index_168,index_171),
    inference(rew,[status(thm),theory(equality)],[138,1234]),
    [iquote('0:Rew:138.0,1234.0')] ).

cnf(1577,plain,
    equal(s(index_165),index_171),
    inference(rew,[status(thm),theory(equality)],[1576,137]),
    [iquote('0:Rew:1576.0,137.0')] ).

cnf(1580,plain,
    equal(store(queue_167,tail,index_171),q34),
    inference(rew,[status(thm),theory(equality)],[1576,400]),
    [iquote('0:Rew:1576.0,400.0')] ).

cnf(1582,plain,
    equal(index_162,index_165),
    inference(rew,[status(thm),theory(equality)],[136,1235]),
    [iquote('0:Rew:136.0,1235.0')] ).

cnf(1583,plain,
    equal(s(index_159),index_165),
    inference(rew,[status(thm),theory(equality)],[1582,135]),
    [iquote('0:Rew:1582.0,135.0')] ).

cnf(1586,plain,
    equal(store(queue_161,tail,index_165),q33),
    inference(rew,[status(thm),theory(equality)],[1582,401]),
    [iquote('0:Rew:1582.0,401.0')] ).

cnf(1588,plain,
    equal(index_156,index_159),
    inference(rew,[status(thm),theory(equality)],[134,1236]),
    [iquote('0:Rew:134.0,1236.0')] ).

cnf(1589,plain,
    equal(s(index_153),index_159),
    inference(rew,[status(thm),theory(equality)],[1588,133]),
    [iquote('0:Rew:1588.0,133.0')] ).

cnf(1592,plain,
    equal(store(queue_155,tail,index_159),q32),
    inference(rew,[status(thm),theory(equality)],[1588,402]),
    [iquote('0:Rew:1588.0,402.0')] ).

cnf(1594,plain,
    equal(index_150,index_153),
    inference(rew,[status(thm),theory(equality)],[132,1237]),
    [iquote('0:Rew:132.0,1237.0')] ).

cnf(1595,plain,
    equal(s(index_147),index_153),
    inference(rew,[status(thm),theory(equality)],[1594,131]),
    [iquote('0:Rew:1594.0,131.0')] ).

cnf(1598,plain,
    equal(store(queue_149,tail,index_153),q31),
    inference(rew,[status(thm),theory(equality)],[1594,403]),
    [iquote('0:Rew:1594.0,403.0')] ).

cnf(1600,plain,
    equal(index_144,index_147),
    inference(rew,[status(thm),theory(equality)],[129,1238]),
    [iquote('0:Rew:129.0,1238.0')] ).

cnf(1601,plain,
    equal(s(index_141),index_147),
    inference(rew,[status(thm),theory(equality)],[1600,128]),
    [iquote('0:Rew:1600.0,128.0')] ).

cnf(1604,plain,
    equal(store(queue_143,tail,index_147),q30),
    inference(rew,[status(thm),theory(equality)],[1600,404]),
    [iquote('0:Rew:1600.0,404.0')] ).

cnf(1606,plain,
    equal(index_138,index_201),
    inference(rew,[status(thm),theory(equality)],[149,1239]),
    [iquote('0:Rew:149.0,1239.0')] ).

cnf(1607,plain,
    equal(s(index_135),index_201),
    inference(rew,[status(thm),theory(equality)],[1606,126]),
    [iquote('0:Rew:1606.0,126.0')] ).

cnf(1610,plain,
    equal(store(queue_137,tail,index_201),q3),
    inference(rew,[status(thm),theory(equality)],[1606,405]),
    [iquote('0:Rew:1606.0,405.0')] ).

cnf(1611,plain,
    equal(s(index_201),index_69),
    inference(rew,[status(thm),theory(equality)],[1606,1380]),
    [iquote('0:Rew:1606.0,1380.0')] ).

cnf(1612,plain,
    equal(index_69,index_267),
    inference(rew,[status(thm),theory(equality)],[1535,1611]),
    [iquote('0:Rew:1535.0,1611.0')] ).

cnf(1615,plain,
    equal(s(index_267),index_135),
    inference(rew,[status(thm),theory(equality)],[1612,1375]),
    [iquote('0:Rew:1612.0,1375.0')] ).

cnf(1620,plain,
    equal(p(index_267),index_3),
    inference(rew,[status(thm),theory(equality)],[1612,1384]),
    [iquote('0:Rew:1612.0,1384.0')] ).

cnf(1622,plain,
    equal(index_273,index_135),
    inference(rew,[status(thm),theory(equality)],[1457,1615]),
    [iquote('0:Rew:1457.0,1615.0')] ).

cnf(1625,plain,
    equal(s(index_135),index_279),
    inference(rew,[status(thm),theory(equality)],[1622,1451]),
    [iquote('0:Rew:1622.0,1451.0')] ).

cnf(1629,plain,
    equal(s(index_267),index_135),
    inference(rew,[status(thm),theory(equality)],[1622,1457]),
    [iquote('0:Rew:1622.0,1457.0')] ).

cnf(1632,plain,
    equal(index_3,index_201),
    inference(rew,[status(thm),theory(equality)],[1536,1620]),
    [iquote('0:Rew:1536.0,1620.0')] ).

cnf(1633,plain,
    equal(select(q0,tail),index_201),
    inference(rew,[status(thm),theory(equality)],[1632,186]),
    [iquote('0:Rew:1632.0,186.0')] ).

cnf(1637,plain,
    equal(index_279,index_201),
    inference(rew,[status(thm),theory(equality)],[1607,1625]),
    [iquote('0:Rew:1607.0,1625.0')] ).

cnf(1640,plain,
    equal(s(index_201),index_285),
    inference(rew,[status(thm),theory(equality)],[1637,1445]),
    [iquote('0:Rew:1637.0,1445.0')] ).

cnf(1646,plain,
    equal(index_285,index_267),
    inference(rew,[status(thm),theory(equality)],[1535,1640]),
    [iquote('0:Rew:1535.0,1640.0')] ).

cnf(1649,plain,
    equal(s(index_267),index_291),
    inference(rew,[status(thm),theory(equality)],[1646,1439]),
    [iquote('0:Rew:1646.0,1439.0')] ).

cnf(1655,plain,
    equal(index_291,index_135),
    inference(rew,[status(thm),theory(equality)],[1629,1649]),
    [iquote('0:Rew:1629.0,1649.0')] ).

cnf(1658,plain,
    equal(s(index_135),index_9),
    inference(rew,[status(thm),theory(equality)],[1655,1431]),
    [iquote('0:Rew:1655.0,1431.0')] ).

cnf(1665,plain,
    equal(index_201,index_9),
    inference(rew,[status(thm),theory(equality)],[1607,1658]),
    [iquote('0:Rew:1607.0,1658.0')] ).

cnf(1668,plain,
    equal(s(index_9),index_267),
    inference(rew,[status(thm),theory(equality)],[1665,1535]),
    [iquote('0:Rew:1665.0,1535.0')] ).

cnf(1672,plain,
    equal(s(index_135),index_9),
    inference(rew,[status(thm),theory(equality)],[1665,1607]),
    [iquote('0:Rew:1665.0,1607.0')] ).

cnf(1676,plain,
    equal(index_279,index_9),
    inference(rew,[status(thm),theory(equality)],[1665,1637]),
    [iquote('0:Rew:1665.0,1637.0')] ).

cnf(1678,plain,
    equal(index_12,index_267),
    inference(rew,[status(thm),theory(equality)],[119,1668]),
    [iquote('0:Rew:119.0,1668.0')] ).

cnf(1679,plain,
    equal(s(index_9),index_267),
    inference(rew,[status(thm),theory(equality)],[1678,119]),
    [iquote('0:Rew:1678.0,119.0')] ).

cnf(1682,plain,
    equal(store(queue_11,tail,index_267),q10),
    inference(rew,[status(thm),theory(equality)],[1678,407]),
    [iquote('0:Rew:1678.0,407.0')] ).

cnf(1684,plain,
    equal(index_132,index_141),
    inference(rew,[status(thm),theory(equality)],[127,1240]),
    [iquote('0:Rew:127.0,1240.0')] ).

cnf(1685,plain,
    equal(s(index_129),index_141),
    inference(rew,[status(thm),theory(equality)],[1684,124]),
    [iquote('0:Rew:1684.0,124.0')] ).

cnf(1688,plain,
    equal(store(queue_131,tail,index_141),q29),
    inference(rew,[status(thm),theory(equality)],[1684,406]),
    [iquote('0:Rew:1684.0,406.0')] ).

cnf(1690,plain,
    equal(index_12,index_15),
    inference(rew,[status(thm),theory(equality)],[130,1241]),
    [iquote('0:Rew:130.0,1241.0')] ).

cnf(1691,plain,
    equal(index_267,index_15),
    inference(rew,[status(thm),theory(equality)],[1678,1690]),
    [iquote('0:Rew:1678.0,1690.0')] ).

cnf(1695,plain,
    equal(index_69,index_15),
    inference(rew,[status(thm),theory(equality)],[1691,1612]),
    [iquote('0:Rew:1691.0,1612.0')] ).

cnf(1699,plain,
    equal(s(index_15),index_135),
    inference(rew,[status(thm),theory(equality)],[1691,1629]),
    [iquote('0:Rew:1691.0,1629.0')] ).

cnf(1700,plain,
    equal(index_285,index_15),
    inference(rew,[status(thm),theory(equality)],[1691,1646]),
    [iquote('0:Rew:1691.0,1646.0')] ).

cnf(1705,plain,
    equal(s(index_9),index_15),
    inference(rew,[status(thm),theory(equality)],[1691,1679]),
    [iquote('0:Rew:1691.0,1679.0')] ).

cnf(1706,plain,
    equal(index_21,index_135),
    inference(rew,[status(thm),theory(equality)],[1553,1699]),
    [iquote('0:Rew:1553.0,1699.0')] ).

cnf(1709,plain,
    equal(s(index_135),index_27),
    inference(rew,[status(thm),theory(equality)],[1706,1487]),
    [iquote('0:Rew:1706.0,1487.0')] ).

cnf(1713,plain,
    equal(s(index_15),index_135),
    inference(rew,[status(thm),theory(equality)],[1706,1553]),
    [iquote('0:Rew:1706.0,1553.0')] ).

cnf(1716,plain,
    equal(index_27,index_9),
    inference(rew,[status(thm),theory(equality)],[1672,1709]),
    [iquote('0:Rew:1672.0,1709.0')] ).

cnf(1719,plain,
    equal(s(index_9),index_33),
    inference(rew,[status(thm),theory(equality)],[1716,1425]),
    [iquote('0:Rew:1716.0,1425.0')] ).

cnf(1725,plain,
    equal(index_33,index_15),
    inference(rew,[status(thm),theory(equality)],[1705,1719]),
    [iquote('0:Rew:1705.0,1719.0')] ).

cnf(1728,plain,
    equal(s(index_15),index_39),
    inference(rew,[status(thm),theory(equality)],[1725,1419]),
    [iquote('0:Rew:1725.0,1419.0')] ).

cnf(1734,plain,
    equal(index_39,index_135),
    inference(rew,[status(thm),theory(equality)],[1713,1728]),
    [iquote('0:Rew:1713.0,1728.0')] ).

cnf(1737,plain,
    equal(s(index_135),index_45),
    inference(rew,[status(thm),theory(equality)],[1734,1413]),
    [iquote('0:Rew:1734.0,1413.0')] ).

cnf(1743,plain,
    equal(index_45,index_9),
    inference(rew,[status(thm),theory(equality)],[1672,1737]),
    [iquote('0:Rew:1672.0,1737.0')] ).

cnf(1746,plain,
    equal(s(index_9),index_51),
    inference(rew,[status(thm),theory(equality)],[1743,1407]),
    [iquote('0:Rew:1743.0,1407.0')] ).

cnf(1752,plain,
    equal(index_51,index_15),
    inference(rew,[status(thm),theory(equality)],[1705,1746]),
    [iquote('0:Rew:1705.0,1746.0')] ).

cnf(1755,plain,
    equal(s(index_15),index_57),
    inference(rew,[status(thm),theory(equality)],[1752,1401]),
    [iquote('0:Rew:1752.0,1401.0')] ).

cnf(1761,plain,
    equal(index_57,index_135),
    inference(rew,[status(thm),theory(equality)],[1713,1755]),
    [iquote('0:Rew:1713.0,1755.0')] ).

cnf(1764,plain,
    equal(s(index_135),index_63),
    inference(rew,[status(thm),theory(equality)],[1761,1395]),
    [iquote('0:Rew:1761.0,1395.0')] ).

cnf(1770,plain,
    equal(index_63,index_9),
    inference(rew,[status(thm),theory(equality)],[1672,1764]),
    [iquote('0:Rew:1672.0,1764.0')] ).

cnf(1773,plain,
    equal(s(index_9),index_75),
    inference(rew,[status(thm),theory(equality)],[1770,1389]),
    [iquote('0:Rew:1770.0,1389.0')] ).

cnf(1779,plain,
    equal(index_75,index_15),
    inference(rew,[status(thm),theory(equality)],[1705,1773]),
    [iquote('0:Rew:1705.0,1773.0')] ).

cnf(1782,plain,
    equal(s(index_15),index_81),
    inference(rew,[status(thm),theory(equality)],[1779,1369]),
    [iquote('0:Rew:1779.0,1369.0')] ).

cnf(1788,plain,
    equal(index_81,index_135),
    inference(rew,[status(thm),theory(equality)],[1713,1782]),
    [iquote('0:Rew:1713.0,1782.0')] ).

cnf(1791,plain,
    equal(s(index_135),index_87),
    inference(rew,[status(thm),theory(equality)],[1788,1363]),
    [iquote('0:Rew:1788.0,1363.0')] ).

cnf(1797,plain,
    equal(index_87,index_9),
    inference(rew,[status(thm),theory(equality)],[1672,1791]),
    [iquote('0:Rew:1672.0,1791.0')] ).

cnf(1800,plain,
    equal(s(index_9),index_93),
    inference(rew,[status(thm),theory(equality)],[1797,1356]),
    [iquote('0:Rew:1797.0,1356.0')] ).

cnf(1806,plain,
    equal(index_93,index_15),
    inference(rew,[status(thm),theory(equality)],[1705,1800]),
    [iquote('0:Rew:1705.0,1800.0')] ).

cnf(1809,plain,
    equal(s(index_15),index_99),
    inference(rew,[status(thm),theory(equality)],[1806,1347]),
    [iquote('0:Rew:1806.0,1347.0')] ).

cnf(1816,plain,
    equal(index_135,index_99),
    inference(rew,[status(thm),theory(equality)],[1713,1809]),
    [iquote('0:Rew:1713.0,1809.0')] ).

cnf(1820,plain,
    equal(index_273,index_99),
    inference(rew,[status(thm),theory(equality)],[1816,1622]),
    [iquote('0:Rew:1816.0,1622.0')] ).

cnf(1822,plain,
    equal(index_291,index_99),
    inference(rew,[status(thm),theory(equality)],[1816,1655]),
    [iquote('0:Rew:1816.0,1655.0')] ).

cnf(1826,plain,
    equal(s(index_99),index_9),
    inference(rew,[status(thm),theory(equality)],[1816,1672]),
    [iquote('0:Rew:1816.0,1672.0')] ).

cnf(1829,plain,
    equal(index_21,index_99),
    inference(rew,[status(thm),theory(equality)],[1816,1706]),
    [iquote('0:Rew:1816.0,1706.0')] ).

cnf(1831,plain,
    equal(s(index_15),index_99),
    inference(rew,[status(thm),theory(equality)],[1816,1713]),
    [iquote('0:Rew:1816.0,1713.0')] ).

cnf(1832,plain,
    equal(index_39,index_99),
    inference(rew,[status(thm),theory(equality)],[1816,1734]),
    [iquote('0:Rew:1816.0,1734.0')] ).

cnf(1834,plain,
    equal(index_57,index_99),
    inference(rew,[status(thm),theory(equality)],[1816,1761]),
    [iquote('0:Rew:1816.0,1761.0')] ).

cnf(1836,plain,
    equal(index_81,index_99),
    inference(rew,[status(thm),theory(equality)],[1816,1788]),
    [iquote('0:Rew:1816.0,1788.0')] ).

cnf(1838,plain,
    equal(index_102,index_9),
    inference(rew,[status(thm),theory(equality)],[113,1826]),
    [iquote('0:Rew:113.0,1826.0')] ).

cnf(1839,plain,
    equal(s(index_99),index_9),
    inference(rew,[status(thm),theory(equality)],[1838,113]),
    [iquote('0:Rew:1838.0,113.0')] ).

cnf(1842,plain,
    equal(store(queue_101,tail,index_9),q24),
    inference(rew,[status(thm),theory(equality)],[1838,412]),
    [iquote('0:Rew:1838.0,412.0')] ).

cnf(1844,plain,
    equal(index_126,index_129),
    inference(rew,[status(thm),theory(equality)],[123,1242]),
    [iquote('0:Rew:123.0,1242.0')] ).

cnf(1845,plain,
    equal(s(index_123),index_129),
    inference(rew,[status(thm),theory(equality)],[1844,122]),
    [iquote('0:Rew:1844.0,122.0')] ).

cnf(1848,plain,
    equal(store(queue_125,tail,index_129),q28),
    inference(rew,[status(thm),theory(equality)],[1844,408]),
    [iquote('0:Rew:1844.0,408.0')] ).

cnf(1850,plain,
    equal(index_120,index_123),
    inference(rew,[status(thm),theory(equality)],[121,1243]),
    [iquote('0:Rew:121.0,1243.0')] ).

cnf(1851,plain,
    equal(s(index_117),index_123),
    inference(rew,[status(thm),theory(equality)],[1850,120]),
    [iquote('0:Rew:1850.0,120.0')] ).

cnf(1854,plain,
    equal(store(queue_119,tail,index_123),q27),
    inference(rew,[status(thm),theory(equality)],[1850,409]),
    [iquote('0:Rew:1850.0,409.0')] ).

cnf(1856,plain,
    equal(index_114,index_117),
    inference(rew,[status(thm),theory(equality)],[118,1244]),
    [iquote('0:Rew:118.0,1244.0')] ).

cnf(1857,plain,
    equal(s(index_111),index_117),
    inference(rew,[status(thm),theory(equality)],[1856,117]),
    [iquote('0:Rew:1856.0,117.0')] ).

cnf(1860,plain,
    equal(store(queue_113,tail,index_117),q26),
    inference(rew,[status(thm),theory(equality)],[1856,410]),
    [iquote('0:Rew:1856.0,410.0')] ).

cnf(1862,plain,
    equal(index_108,index_111),
    inference(rew,[status(thm),theory(equality)],[116,1245]),
    [iquote('0:Rew:116.0,1245.0')] ).

cnf(1863,plain,
    equal(s(index_105),index_111),
    inference(rew,[status(thm),theory(equality)],[1862,115]),
    [iquote('0:Rew:1862.0,115.0')] ).

cnf(1866,plain,
    equal(store(queue_107,tail,index_111),q25),
    inference(rew,[status(thm),theory(equality)],[1862,411]),
    [iquote('0:Rew:1862.0,411.0')] ).

cnf(1868,plain,
    equal(index_102,index_105),
    inference(rew,[status(thm),theory(equality)],[114,1246]),
    [iquote('0:Rew:114.0,1246.0')] ).

cnf(1869,plain,
    equal(index_105,index_9),
    inference(rew,[status(thm),theory(equality)],[1838,1868]),
    [iquote('0:Rew:1838.0,1868.0')] ).

cnf(1872,plain,
    equal(s(index_9),index_111),
    inference(rew,[status(thm),theory(equality)],[1869,1863]),
    [iquote('0:Rew:1869.0,1863.0')] ).

cnf(1875,plain,
    equal(index_15,index_111),
    inference(rew,[status(thm),theory(equality)],[1705,1872]),
    [iquote('0:Rew:1705.0,1872.0')] ).

cnf(1878,plain,
    equal(index_267,index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1691]),
    [iquote('0:Rew:1875.0,1691.0')] ).

cnf(1880,plain,
    equal(index_69,index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1695]),
    [iquote('0:Rew:1875.0,1695.0')] ).

cnf(1882,plain,
    equal(index_285,index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1700]),
    [iquote('0:Rew:1875.0,1700.0')] ).

cnf(1887,plain,
    equal(s(index_9),index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1705]),
    [iquote('0:Rew:1875.0,1705.0')] ).

cnf(1888,plain,
    equal(index_33,index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1725]),
    [iquote('0:Rew:1875.0,1725.0')] ).

cnf(1890,plain,
    equal(index_51,index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1752]),
    [iquote('0:Rew:1875.0,1752.0')] ).

cnf(1892,plain,
    equal(index_75,index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1779]),
    [iquote('0:Rew:1875.0,1779.0')] ).

cnf(1894,plain,
    equal(index_93,index_111),
    inference(rew,[status(thm),theory(equality)],[1875,1806]),
    [iquote('0:Rew:1875.0,1806.0')] ).

cnf(1898,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1875,1831]),
    [iquote('0:Rew:1875.0,1831.0')] ).

cnf(1899,plain,
    equal(index_117,index_99),
    inference(rew,[status(thm),theory(equality)],[1857,1898]),
    [iquote('0:Rew:1857.0,1898.0')] ).

cnf(1902,plain,
    equal(s(index_99),index_123),
    inference(rew,[status(thm),theory(equality)],[1899,1851]),
    [iquote('0:Rew:1899.0,1851.0')] ).

cnf(1906,plain,
    equal(s(index_111),index_99),
    inference(rew,[status(thm),theory(equality)],[1899,1857]),
    [iquote('0:Rew:1899.0,1857.0')] ).

cnf(1909,plain,
    equal(index_123,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,1902]),
    [iquote('0:Rew:1839.0,1902.0')] ).

cnf(1912,plain,
    equal(s(index_9),index_129),
    inference(rew,[status(thm),theory(equality)],[1909,1845]),
    [iquote('0:Rew:1909.0,1845.0')] ).

cnf(1918,plain,
    equal(index_129,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,1912]),
    [iquote('0:Rew:1887.0,1912.0')] ).

cnf(1921,plain,
    equal(s(index_111),index_141),
    inference(rew,[status(thm),theory(equality)],[1918,1685]),
    [iquote('0:Rew:1918.0,1685.0')] ).

cnf(1927,plain,
    equal(index_141,index_99),
    inference(rew,[status(thm),theory(equality)],[1906,1921]),
    [iquote('0:Rew:1906.0,1921.0')] ).

cnf(1930,plain,
    equal(s(index_99),index_147),
    inference(rew,[status(thm),theory(equality)],[1927,1601]),
    [iquote('0:Rew:1927.0,1601.0')] ).

cnf(1936,plain,
    equal(index_147,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,1930]),
    [iquote('0:Rew:1839.0,1930.0')] ).

cnf(1939,plain,
    equal(s(index_9),index_153),
    inference(rew,[status(thm),theory(equality)],[1936,1595]),
    [iquote('0:Rew:1936.0,1595.0')] ).

cnf(1945,plain,
    equal(index_153,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,1939]),
    [iquote('0:Rew:1887.0,1939.0')] ).

cnf(1948,plain,
    equal(s(index_111),index_159),
    inference(rew,[status(thm),theory(equality)],[1945,1589]),
    [iquote('0:Rew:1945.0,1589.0')] ).

cnf(1954,plain,
    equal(index_159,index_99),
    inference(rew,[status(thm),theory(equality)],[1906,1948]),
    [iquote('0:Rew:1906.0,1948.0')] ).

cnf(1957,plain,
    equal(s(index_99),index_165),
    inference(rew,[status(thm),theory(equality)],[1954,1583]),
    [iquote('0:Rew:1954.0,1583.0')] ).

cnf(1963,plain,
    equal(index_165,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,1957]),
    [iquote('0:Rew:1839.0,1957.0')] ).

cnf(1966,plain,
    equal(s(index_9),index_171),
    inference(rew,[status(thm),theory(equality)],[1963,1577]),
    [iquote('0:Rew:1963.0,1577.0')] ).

cnf(1972,plain,
    equal(index_171,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,1966]),
    [iquote('0:Rew:1887.0,1966.0')] ).

cnf(1975,plain,
    equal(s(index_111),index_177),
    inference(rew,[status(thm),theory(equality)],[1972,1571]),
    [iquote('0:Rew:1972.0,1571.0')] ).

cnf(1981,plain,
    equal(index_177,index_99),
    inference(rew,[status(thm),theory(equality)],[1906,1975]),
    [iquote('0:Rew:1906.0,1975.0')] ).

cnf(1984,plain,
    equal(s(index_99),index_183),
    inference(rew,[status(thm),theory(equality)],[1981,1565]),
    [iquote('0:Rew:1981.0,1565.0')] ).

cnf(1990,plain,
    equal(index_183,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,1984]),
    [iquote('0:Rew:1839.0,1984.0')] ).

cnf(1993,plain,
    equal(s(index_9),index_189),
    inference(rew,[status(thm),theory(equality)],[1990,1559]),
    [iquote('0:Rew:1990.0,1559.0')] ).

cnf(1999,plain,
    equal(index_189,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,1993]),
    [iquote('0:Rew:1887.0,1993.0')] ).

cnf(2002,plain,
    equal(s(index_111),index_195),
    inference(rew,[status(thm),theory(equality)],[1999,1547]),
    [iquote('0:Rew:1999.0,1547.0')] ).

cnf(2008,plain,
    equal(index_195,index_99),
    inference(rew,[status(thm),theory(equality)],[1906,2002]),
    [iquote('0:Rew:1906.0,2002.0')] ).

cnf(2011,plain,
    equal(s(index_99),index_207),
    inference(rew,[status(thm),theory(equality)],[2008,1541]),
    [iquote('0:Rew:2008.0,1541.0')] ).

cnf(2017,plain,
    equal(index_207,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,2011]),
    [iquote('0:Rew:1839.0,2011.0')] ).

cnf(2020,plain,
    equal(s(index_9),index_213),
    inference(rew,[status(thm),theory(equality)],[2017,1529]),
    [iquote('0:Rew:2017.0,1529.0')] ).

cnf(2026,plain,
    equal(index_213,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,2020]),
    [iquote('0:Rew:1887.0,2020.0')] ).

cnf(2029,plain,
    equal(s(index_111),index_219),
    inference(rew,[status(thm),theory(equality)],[2026,1523]),
    [iquote('0:Rew:2026.0,1523.0')] ).

cnf(2035,plain,
    equal(index_219,index_99),
    inference(rew,[status(thm),theory(equality)],[1906,2029]),
    [iquote('0:Rew:1906.0,2029.0')] ).

cnf(2038,plain,
    equal(s(index_99),index_225),
    inference(rew,[status(thm),theory(equality)],[2035,1517]),
    [iquote('0:Rew:2035.0,1517.0')] ).

cnf(2044,plain,
    equal(index_225,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,2038]),
    [iquote('0:Rew:1839.0,2038.0')] ).

cnf(2047,plain,
    equal(s(index_9),index_231),
    inference(rew,[status(thm),theory(equality)],[2044,1511]),
    [iquote('0:Rew:2044.0,1511.0')] ).

cnf(2053,plain,
    equal(index_231,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,2047]),
    [iquote('0:Rew:1887.0,2047.0')] ).

cnf(2056,plain,
    equal(s(index_111),index_237),
    inference(rew,[status(thm),theory(equality)],[2053,1505]),
    [iquote('0:Rew:2053.0,1505.0')] ).

cnf(2062,plain,
    equal(index_237,index_99),
    inference(rew,[status(thm),theory(equality)],[1906,2056]),
    [iquote('0:Rew:1906.0,2056.0')] ).

cnf(2065,plain,
    equal(s(index_99),index_243),
    inference(rew,[status(thm),theory(equality)],[2062,1499]),
    [iquote('0:Rew:2062.0,1499.0')] ).

cnf(2071,plain,
    equal(index_243,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,2065]),
    [iquote('0:Rew:1839.0,2065.0')] ).

cnf(2074,plain,
    equal(s(index_9),index_249),
    inference(rew,[status(thm),theory(equality)],[2071,1493]),
    [iquote('0:Rew:2071.0,1493.0')] ).

cnf(2080,plain,
    equal(index_249,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,2074]),
    [iquote('0:Rew:1887.0,2074.0')] ).

cnf(2083,plain,
    equal(s(index_111),index_255),
    inference(rew,[status(thm),theory(equality)],[2080,1481]),
    [iquote('0:Rew:2080.0,1481.0')] ).

cnf(2089,plain,
    equal(index_255,index_99),
    inference(rew,[status(thm),theory(equality)],[1906,2083]),
    [iquote('0:Rew:1906.0,2083.0')] ).

cnf(2092,plain,
    equal(s(index_99),index_261),
    inference(rew,[status(thm),theory(equality)],[2089,1473]),
    [iquote('0:Rew:2089.0,1473.0')] ).

cnf(2099,plain,
    equal(index_261,index_9),
    inference(rew,[status(thm),theory(equality)],[1839,2092]),
    [iquote('0:Rew:1839.0,2092.0')] ).

cnf(2100,plain,
    equal(s(index_9),index_264),
    inference(rew,[status(thm),theory(equality)],[2099,172]),
    [iquote('0:Rew:2099.0,172.0')] ).

cnf(2104,plain,
    equal(store(earray_260,index_9,e48),earray_262),
    inference(rew,[status(thm),theory(equality)],[2099,72]),
    [iquote('0:Rew:2099.0,72.0')] ).

cnf(2109,plain,
    equal(index_264,index_111),
    inference(rew,[status(thm),theory(equality)],[1887,2100]),
    [iquote('0:Rew:1887.0,2100.0')] ).

cnf(2110,plain,
    equal(store(queue_263,tail,index_111),q49),
    inference(rew,[status(thm),theory(equality)],[2109,382]),
    [iquote('0:Rew:2109.0,382.0')] ).

cnf(2133,plain,
    equal(select(earray_262,index_9),e48),
    inference(rew,[status(thm),theory(equality)],[2099,1315]),
    [iquote('0:Rew:2099.0,1315.0')] ).

cnf(2183,plain,
    equal(select(earray_296,index_9),elem_301),
    inference(rew,[status(thm),theory(equality)],[2099,1469]),
    [iquote('0:Rew:2099.0,1469.0')] ).

cnf(2208,plain,
    equal(select(q0,tail),index_9),
    inference(rew,[status(thm),theory(equality)],[1665,1633]),
    [iquote('0:Rew:1665.0,1633.0')] ).

cnf(2226,plain,
    equal(store(queue_89,tail,index_111),q22),
    inference(rew,[status(thm),theory(equality)],[1894,1358]),
    [iquote('0:Rew:1894.0,1358.0')] ).

cnf(2227,plain,
    equal(store(queue_83,tail,index_9),q21),
    inference(rew,[status(thm),theory(equality)],[1797,1365]),
    [iquote('0:Rew:1797.0,1365.0')] ).

cnf(2228,plain,
    equal(store(queue_77,tail,index_99),q20),
    inference(rew,[status(thm),theory(equality)],[1836,1371]),
    [iquote('0:Rew:1836.0,1371.0')] ).

cnf(2229,plain,
    equal(store(queue_71,tail,index_99),q2),
    inference(rew,[status(thm),theory(equality)],[1816,1377]),
    [iquote('0:Rew:1816.0,1377.0')] ).

cnf(2230,plain,
    equal(store(queue_5,tail,index_111),q1),
    inference(rew,[status(thm),theory(equality)],[1880,1385]),
    [iquote('0:Rew:1880.0,1385.0')] ).

cnf(2231,plain,
    equal(store(queue_65,tail,index_111),q19),
    inference(rew,[status(thm),theory(equality)],[1892,1391]),
    [iquote('0:Rew:1892.0,1391.0')] ).

cnf(2232,plain,
    equal(store(queue_59,tail,index_9),q18),
    inference(rew,[status(thm),theory(equality)],[1770,1398]),
    [iquote('0:Rew:1770.0,1398.0')] ).

cnf(2233,plain,
    equal(store(queue_53,tail,index_99),q17),
    inference(rew,[status(thm),theory(equality)],[1834,1404]),
    [iquote('0:Rew:1834.0,1404.0')] ).

cnf(2234,plain,
    equal(store(queue_47,tail,index_111),q16),
    inference(rew,[status(thm),theory(equality)],[1890,1410]),
    [iquote('0:Rew:1890.0,1410.0')] ).

cnf(2235,plain,
    equal(store(queue_41,tail,index_9),q15),
    inference(rew,[status(thm),theory(equality)],[1743,1416]),
    [iquote('0:Rew:1743.0,1416.0')] ).

cnf(2236,plain,
    equal(store(queue_35,tail,index_99),q14),
    inference(rew,[status(thm),theory(equality)],[1832,1422]),
    [iquote('0:Rew:1832.0,1422.0')] ).

cnf(2237,plain,
    equal(store(queue_29,tail,index_111),q13),
    inference(rew,[status(thm),theory(equality)],[1888,1428]),
    [iquote('0:Rew:1888.0,1428.0')] ).

cnf(2238,plain,
    equal(store(queue_287,tail,index_99),q8),
    inference(rew,[status(thm),theory(equality)],[1822,1442]),
    [iquote('0:Rew:1822.0,1442.0')] ).

cnf(2239,plain,
    equal(store(queue_281,tail,index_111),q7),
    inference(rew,[status(thm),theory(equality)],[1882,1448]),
    [iquote('0:Rew:1882.0,1448.0')] ).

cnf(2240,plain,
    equal(store(queue_275,tail,index_9),q6),
    inference(rew,[status(thm),theory(equality)],[1676,1454]),
    [iquote('0:Rew:1676.0,1454.0')] ).

cnf(2241,plain,
    equal(store(queue_269,tail,index_99),q5),
    inference(rew,[status(thm),theory(equality)],[1820,1460]),
    [iquote('0:Rew:1820.0,1460.0')] ).

cnf(2242,plain,
    equal(store(queue_257,tail,index_9),q48),
    inference(rew,[status(thm),theory(equality)],[2099,1476]),
    [iquote('0:Rew:2099.0,1476.0')] ).

cnf(2243,plain,
    equal(store(queue_251,tail,index_99),q47),
    inference(rew,[status(thm),theory(equality)],[2089,1484]),
    [iquote('0:Rew:2089.0,1484.0')] ).

cnf(2244,plain,
    equal(store(queue_23,tail,index_9),q12),
    inference(rew,[status(thm),theory(equality)],[1716,1490]),
    [iquote('0:Rew:1716.0,1490.0')] ).

cnf(2245,plain,
    equal(store(queue_245,tail,index_111),q46),
    inference(rew,[status(thm),theory(equality)],[2080,1496]),
    [iquote('0:Rew:2080.0,1496.0')] ).

cnf(2246,plain,
    equal(store(queue_239,tail,index_9),q45),
    inference(rew,[status(thm),theory(equality)],[2071,1502]),
    [iquote('0:Rew:2071.0,1502.0')] ).

cnf(2247,plain,
    equal(store(queue_233,tail,index_99),q44),
    inference(rew,[status(thm),theory(equality)],[2062,1508]),
    [iquote('0:Rew:2062.0,1508.0')] ).

cnf(2248,plain,
    equal(store(queue_227,tail,index_111),q43),
    inference(rew,[status(thm),theory(equality)],[2053,1514]),
    [iquote('0:Rew:2053.0,1514.0')] ).

cnf(2249,plain,
    equal(store(queue_221,tail,index_9),q42),
    inference(rew,[status(thm),theory(equality)],[2044,1520]),
    [iquote('0:Rew:2044.0,1520.0')] ).

cnf(2250,plain,
    equal(store(queue_215,tail,index_99),q41),
    inference(rew,[status(thm),theory(equality)],[2035,1526]),
    [iquote('0:Rew:2035.0,1526.0')] ).

cnf(2251,plain,
    equal(store(queue_209,tail,index_111),q40),
    inference(rew,[status(thm),theory(equality)],[2026,1532]),
    [iquote('0:Rew:2026.0,1532.0')] ).

cnf(2252,plain,
    equal(store(queue_203,tail,index_111),q4),
    inference(rew,[status(thm),theory(equality)],[1878,1538]),
    [iquote('0:Rew:1878.0,1538.0')] ).

cnf(2253,plain,
    equal(store(queue_197,tail,index_9),q39),
    inference(rew,[status(thm),theory(equality)],[2017,1544]),
    [iquote('0:Rew:2017.0,1544.0')] ).

cnf(2254,plain,
    equal(store(queue_191,tail,index_99),q38),
    inference(rew,[status(thm),theory(equality)],[2008,1550]),
    [iquote('0:Rew:2008.0,1550.0')] ).

cnf(2255,plain,
    equal(store(queue_17,tail,index_99),q11),
    inference(rew,[status(thm),theory(equality)],[1829,1556]),
    [iquote('0:Rew:1829.0,1556.0')] ).

cnf(2256,plain,
    equal(store(queue_185,tail,index_111),q37),
    inference(rew,[status(thm),theory(equality)],[1999,1562]),
    [iquote('0:Rew:1999.0,1562.0')] ).

cnf(2257,plain,
    equal(store(queue_179,tail,index_9),q36),
    inference(rew,[status(thm),theory(equality)],[1990,1568]),
    [iquote('0:Rew:1990.0,1568.0')] ).

cnf(2258,plain,
    equal(store(queue_173,tail,index_99),q35),
    inference(rew,[status(thm),theory(equality)],[1981,1574]),
    [iquote('0:Rew:1981.0,1574.0')] ).

cnf(2259,plain,
    equal(store(queue_167,tail,index_111),q34),
    inference(rew,[status(thm),theory(equality)],[1972,1580]),
    [iquote('0:Rew:1972.0,1580.0')] ).

cnf(2260,plain,
    equal(store(queue_161,tail,index_9),q33),
    inference(rew,[status(thm),theory(equality)],[1963,1586]),
    [iquote('0:Rew:1963.0,1586.0')] ).

cnf(2261,plain,
    equal(store(queue_155,tail,index_99),q32),
    inference(rew,[status(thm),theory(equality)],[1954,1592]),
    [iquote('0:Rew:1954.0,1592.0')] ).

cnf(2262,plain,
    equal(store(queue_149,tail,index_111),q31),
    inference(rew,[status(thm),theory(equality)],[1945,1598]),
    [iquote('0:Rew:1945.0,1598.0')] ).

cnf(2263,plain,
    equal(store(queue_143,tail,index_9),q30),
    inference(rew,[status(thm),theory(equality)],[1936,1604]),
    [iquote('0:Rew:1936.0,1604.0')] ).

cnf(2264,plain,
    equal(store(queue_137,tail,index_9),q3),
    inference(rew,[status(thm),theory(equality)],[1665,1610]),
    [iquote('0:Rew:1665.0,1610.0')] ).

cnf(2271,plain,
    equal(store(queue_11,tail,index_111),q10),
    inference(rew,[status(thm),theory(equality)],[1878,1682]),
    [iquote('0:Rew:1878.0,1682.0')] ).

cnf(2272,plain,
    equal(store(queue_131,tail,index_99),q29),
    inference(rew,[status(thm),theory(equality)],[1927,1688]),
    [iquote('0:Rew:1927.0,1688.0')] ).

cnf(2282,plain,
    equal(store(queue_125,tail,index_111),q28),
    inference(rew,[status(thm),theory(equality)],[1918,1848]),
    [iquote('0:Rew:1918.0,1848.0')] ).

cnf(2283,plain,
    equal(store(queue_119,tail,index_9),q27),
    inference(rew,[status(thm),theory(equality)],[1909,1854]),
    [iquote('0:Rew:1909.0,1854.0')] ).

cnf(2284,plain,
    equal(store(queue_113,tail,index_99),q26),
    inference(rew,[status(thm),theory(equality)],[1899,1860]),
    [iquote('0:Rew:1899.0,1860.0')] ).

cnf(2757,plain,
    ( equal(seq,u)
    | equal(select(queue_95,u),select(q22,u)) ),
    inference(spr,[status(thm),theory(equality)],[311,2]),
    [iquote('0:SpR:311.0,2.1')] ).

cnf(2758,plain,
    ( equal(seq,u)
    | equal(select(queue_89,u),select(q21,u)) ),
    inference(spr,[status(thm),theory(equality)],[309,2]),
    [iquote('0:SpR:309.0,2.1')] ).

cnf(2759,plain,
    ( equal(seq,u)
    | equal(select(queue_83,u),select(q20,u)) ),
    inference(spr,[status(thm),theory(equality)],[307,2]),
    [iquote('0:SpR:307.0,2.1')] ).

cnf(2760,plain,
    ( equal(seq,u)
    | equal(select(queue_77,u),select(q19,u)) ),
    inference(spr,[status(thm),theory(equality)],[305,2]),
    [iquote('0:SpR:305.0,2.1')] ).

cnf(2761,plain,
    ( equal(seq,u)
    | equal(select(queue_71,u),select(q1,u)) ),
    inference(spr,[status(thm),theory(equality)],[303,2]),
    [iquote('0:SpR:303.0,2.1')] ).

cnf(2762,plain,
    ( equal(seq,u)
    | equal(select(queue_65,u),select(q18,u)) ),
    inference(spr,[status(thm),theory(equality)],[300,2]),
    [iquote('0:SpR:300.0,2.1')] ).

cnf(2763,plain,
    ( equal(seq,u)
    | equal(select(queue_59,u),select(q17,u)) ),
    inference(spr,[status(thm),theory(equality)],[298,2]),
    [iquote('0:SpR:298.0,2.1')] ).

cnf(2764,plain,
    ( equal(seq,u)
    | equal(select(queue_53,u),select(q16,u)) ),
    inference(spr,[status(thm),theory(equality)],[296,2]),
    [iquote('0:SpR:296.0,2.1')] ).

cnf(2765,plain,
    ( equal(seq,u)
    | equal(select(queue_5,u),select(q0,u)) ),
    inference(spr,[status(thm),theory(equality)],[295,2]),
    [iquote('0:SpR:295.0,2.1')] ).

cnf(2766,plain,
    ( equal(seq,u)
    | equal(select(queue_47,u),select(q15,u)) ),
    inference(spr,[status(thm),theory(equality)],[293,2]),
    [iquote('0:SpR:293.0,2.1')] ).

cnf(2767,plain,
    ( equal(seq,u)
    | equal(select(queue_41,u),select(q14,u)) ),
    inference(spr,[status(thm),theory(equality)],[291,2]),
    [iquote('0:SpR:291.0,2.1')] ).

cnf(2768,plain,
    ( equal(seq,u)
    | equal(select(queue_35,u),select(q13,u)) ),
    inference(spr,[status(thm),theory(equality)],[289,2]),
    [iquote('0:SpR:289.0,2.1')] ).

cnf(2769,plain,
    ( equal(seq,u)
    | equal(select(queue_293,u),select(q8,u)) ),
    inference(spr,[status(thm),theory(equality)],[286,2]),
    [iquote('0:SpR:286.0,2.1')] ).

cnf(2770,plain,
    ( equal(seq,u)
    | equal(select(queue_29,u),select(q12,u)) ),
    inference(spr,[status(thm),theory(equality)],[285,2]),
    [iquote('0:SpR:285.0,2.1')] ).

cnf(2771,plain,
    ( equal(seq,u)
    | equal(select(queue_287,u),select(q7,u)) ),
    inference(spr,[status(thm),theory(equality)],[283,2]),
    [iquote('0:SpR:283.0,2.1')] ).

cnf(2772,plain,
    ( equal(seq,u)
    | equal(select(queue_281,u),select(q6,u)) ),
    inference(spr,[status(thm),theory(equality)],[281,2]),
    [iquote('0:SpR:281.0,2.1')] ).

cnf(2773,plain,
    ( equal(seq,u)
    | equal(select(queue_275,u),select(q5,u)) ),
    inference(spr,[status(thm),theory(equality)],[279,2]),
    [iquote('0:SpR:279.0,2.1')] ).

cnf(2774,plain,
    ( equal(seq,u)
    | equal(select(queue_269,u),select(q4,u)) ),
    inference(spr,[status(thm),theory(equality)],[277,2]),
    [iquote('0:SpR:277.0,2.1')] ).

cnf(2775,plain,
    ( equal(seq,u)
    | equal(select(queue_263,u),select(q48,u)) ),
    inference(spr,[status(thm),theory(equality)],[275,2]),
    [iquote('0:SpR:275.0,2.1')] ).

cnf(2776,plain,
    ( equal(seq,u)
    | equal(select(queue_257,u),select(q47,u)) ),
    inference(spr,[status(thm),theory(equality)],[273,2]),
    [iquote('0:SpR:273.0,2.1')] ).

cnf(2777,plain,
    ( equal(seq,u)
    | equal(select(queue_251,u),select(q46,u)) ),
    inference(spr,[status(thm),theory(equality)],[271,2]),
    [iquote('0:SpR:271.0,2.1')] ).

cnf(2778,plain,
    ( equal(seq,u)
    | equal(select(queue_245,u),select(q45,u)) ),
    inference(spr,[status(thm),theory(equality)],[268,2]),
    [iquote('0:SpR:268.0,2.1')] ).

cnf(2779,plain,
    ( equal(seq,u)
    | equal(select(queue_239,u),select(q44,u)) ),
    inference(spr,[status(thm),theory(equality)],[266,2]),
    [iquote('0:SpR:266.0,2.1')] ).

cnf(2780,plain,
    ( equal(seq,u)
    | equal(select(queue_233,u),select(q43,u)) ),
    inference(spr,[status(thm),theory(equality)],[264,2]),
    [iquote('0:SpR:264.0,2.1')] ).

cnf(2781,plain,
    ( equal(seq,u)
    | equal(select(queue_23,u),select(q11,u)) ),
    inference(spr,[status(thm),theory(equality)],[263,2]),
    [iquote('0:SpR:263.0,2.1')] ).

cnf(2782,plain,
    ( equal(seq,u)
    | equal(select(queue_227,u),select(q42,u)) ),
    inference(spr,[status(thm),theory(equality)],[261,2]),
    [iquote('0:SpR:261.0,2.1')] ).

cnf(2783,plain,
    ( equal(seq,u)
    | equal(select(queue_221,u),select(q41,u)) ),
    inference(spr,[status(thm),theory(equality)],[259,2]),
    [iquote('0:SpR:259.0,2.1')] ).

cnf(2784,plain,
    ( equal(seq,u)
    | equal(select(queue_215,u),select(q40,u)) ),
    inference(spr,[status(thm),theory(equality)],[257,2]),
    [iquote('0:SpR:257.0,2.1')] ).

cnf(2785,plain,
    ( equal(seq,u)
    | equal(select(queue_209,u),select(q39,u)) ),
    inference(spr,[status(thm),theory(equality)],[255,2]),
    [iquote('0:SpR:255.0,2.1')] ).

cnf(2786,plain,
    ( equal(seq,u)
    | equal(select(queue_203,u),select(q3,u)) ),
    inference(spr,[status(thm),theory(equality)],[253,2]),
    [iquote('0:SpR:253.0,2.1')] ).

cnf(2787,plain,
    ( equal(seq,u)
    | equal(select(queue_197,u),select(q38,u)) ),
    inference(spr,[status(thm),theory(equality)],[251,2]),
    [iquote('0:SpR:251.0,2.1')] ).

cnf(2788,plain,
    ( equal(seq,u)
    | equal(select(queue_191,u),select(q37,u)) ),
    inference(spr,[status(thm),theory(equality)],[249,2]),
    [iquote('0:SpR:249.0,2.1')] ).

cnf(2789,plain,
    ( equal(seq,u)
    | equal(select(queue_185,u),select(q36,u)) ),
    inference(spr,[status(thm),theory(equality)],[246,2]),
    [iquote('0:SpR:246.0,2.1')] ).

cnf(2790,plain,
    ( equal(seq,u)
    | equal(select(queue_179,u),select(q35,u)) ),
    inference(spr,[status(thm),theory(equality)],[244,2]),
    [iquote('0:SpR:244.0,2.1')] ).

cnf(2791,plain,
    ( equal(seq,u)
    | equal(select(queue_173,u),select(q34,u)) ),
    inference(spr,[status(thm),theory(equality)],[242,2]),
    [iquote('0:SpR:242.0,2.1')] ).

cnf(2792,plain,
    ( equal(seq,u)
    | equal(select(queue_17,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[241,2]),
    [iquote('0:SpR:241.0,2.1')] ).

cnf(2793,plain,
    ( equal(seq,u)
    | equal(select(queue_167,u),select(q33,u)) ),
    inference(spr,[status(thm),theory(equality)],[239,2]),
    [iquote('0:SpR:239.0,2.1')] ).

cnf(2794,plain,
    ( equal(seq,u)
    | equal(select(queue_161,u),select(q32,u)) ),
    inference(spr,[status(thm),theory(equality)],[237,2]),
    [iquote('0:SpR:237.0,2.1')] ).

cnf(2795,plain,
    ( equal(seq,u)
    | equal(select(queue_155,u),select(q31,u)) ),
    inference(spr,[status(thm),theory(equality)],[235,2]),
    [iquote('0:SpR:235.0,2.1')] ).

cnf(2796,plain,
    ( equal(seq,u)
    | equal(select(queue_149,u),select(q30,u)) ),
    inference(spr,[status(thm),theory(equality)],[233,2]),
    [iquote('0:SpR:233.0,2.1')] ).

cnf(2797,plain,
    ( equal(seq,u)
    | equal(select(queue_143,u),select(q29,u)) ),
    inference(spr,[status(thm),theory(equality)],[231,2]),
    [iquote('0:SpR:231.0,2.1')] ).

cnf(2798,plain,
    ( equal(seq,u)
    | equal(select(queue_137,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[229,2]),
    [iquote('0:SpR:229.0,2.1')] ).

cnf(2799,plain,
    ( equal(seq,u)
    | equal(select(queue_131,u),select(q28,u)) ),
    inference(spr,[status(thm),theory(equality)],[227,2]),
    [iquote('0:SpR:227.0,2.1')] ).

cnf(2800,plain,
    ( equal(seq,u)
    | equal(select(queue_125,u),select(q27,u)) ),
    inference(spr,[status(thm),theory(equality)],[224,2]),
    [iquote('0:SpR:224.0,2.1')] ).

cnf(2801,plain,
    ( equal(seq,u)
    | equal(select(queue_119,u),select(q26,u)) ),
    inference(spr,[status(thm),theory(equality)],[222,2]),
    [iquote('0:SpR:222.0,2.1')] ).

cnf(2802,plain,
    ( equal(seq,u)
    | equal(select(queue_113,u),select(q25,u)) ),
    inference(spr,[status(thm),theory(equality)],[220,2]),
    [iquote('0:SpR:220.0,2.1')] ).

cnf(2803,plain,
    ( equal(seq,u)
    | equal(select(queue_11,u),select(q9,u)) ),
    inference(spr,[status(thm),theory(equality)],[219,2]),
    [iquote('0:SpR:219.0,2.1')] ).

cnf(2804,plain,
    ( equal(seq,u)
    | equal(select(queue_107,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[217,2]),
    [iquote('0:SpR:217.0,2.1')] ).

cnf(2805,plain,
    ( equal(seq,u)
    | equal(select(queue_101,u),select(q23,u)) ),
    inference(spr,[status(thm),theory(equality)],[215,2]),
    [iquote('0:SpR:215.0,2.1')] ).

cnf(2806,plain,
    ( equal(head,u)
    | equal(select(q,u),select(q0,u)) ),
    inference(spr,[status(thm),theory(equality)],[413,2]),
    [iquote('0:SpR:413.0,2.1')] ).

cnf(2855,plain,
    ( equal(index_9,u)
    | equal(select(earray_262,u),select(earray_260,u)) ),
    inference(spr,[status(thm),theory(equality)],[2104,2]),
    [iquote('0:SpR:2104.0,2.1')] ).

cnf(2856,plain,
    ( equal(tail,u)
    | equal(select(queue_95,u),select(q23,u)) ),
    inference(spr,[status(thm),theory(equality)],[1349,2]),
    [iquote('0:SpR:1349.0,2.1')] ).

cnf(2857,plain,
    ( equal(tail,u)
    | equal(select(queue_77,u),select(q20,u)) ),
    inference(spr,[status(thm),theory(equality)],[2228,2]),
    [iquote('0:SpR:2228.0,2.1')] ).

cnf(2858,plain,
    ( equal(tail,u)
    | equal(select(queue_71,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[2229,2]),
    [iquote('0:SpR:2229.0,2.1')] ).

cnf(2859,plain,
    ( equal(tail,u)
    | equal(select(queue_53,u),select(q17,u)) ),
    inference(spr,[status(thm),theory(equality)],[2233,2]),
    [iquote('0:SpR:2233.0,2.1')] ).

cnf(2860,plain,
    ( equal(tail,u)
    | equal(select(queue_35,u),select(q14,u)) ),
    inference(spr,[status(thm),theory(equality)],[2236,2]),
    [iquote('0:SpR:2236.0,2.1')] ).

cnf(2861,plain,
    ( equal(tail,u)
    | equal(select(queue_287,u),select(q8,u)) ),
    inference(spr,[status(thm),theory(equality)],[2238,2]),
    [iquote('0:SpR:2238.0,2.1')] ).

cnf(2862,plain,
    ( equal(tail,u)
    | equal(select(queue_269,u),select(q5,u)) ),
    inference(spr,[status(thm),theory(equality)],[2241,2]),
    [iquote('0:SpR:2241.0,2.1')] ).

cnf(2863,plain,
    ( equal(tail,u)
    | equal(select(queue_251,u),select(q47,u)) ),
    inference(spr,[status(thm),theory(equality)],[2243,2]),
    [iquote('0:SpR:2243.0,2.1')] ).

cnf(2864,plain,
    ( equal(tail,u)
    | equal(select(queue_233,u),select(q44,u)) ),
    inference(spr,[status(thm),theory(equality)],[2247,2]),
    [iquote('0:SpR:2247.0,2.1')] ).

cnf(2865,plain,
    ( equal(tail,u)
    | equal(select(queue_215,u),select(q41,u)) ),
    inference(spr,[status(thm),theory(equality)],[2250,2]),
    [iquote('0:SpR:2250.0,2.1')] ).

cnf(2866,plain,
    ( equal(tail,u)
    | equal(select(queue_191,u),select(q38,u)) ),
    inference(spr,[status(thm),theory(equality)],[2254,2]),
    [iquote('0:SpR:2254.0,2.1')] ).

cnf(2867,plain,
    ( equal(tail,u)
    | equal(select(queue_17,u),select(q11,u)) ),
    inference(spr,[status(thm),theory(equality)],[2255,2]),
    [iquote('0:SpR:2255.0,2.1')] ).

cnf(2868,plain,
    ( equal(tail,u)
    | equal(select(queue_173,u),select(q35,u)) ),
    inference(spr,[status(thm),theory(equality)],[2258,2]),
    [iquote('0:SpR:2258.0,2.1')] ).

cnf(2869,plain,
    ( equal(tail,u)
    | equal(select(queue_155,u),select(q32,u)) ),
    inference(spr,[status(thm),theory(equality)],[2261,2]),
    [iquote('0:SpR:2261.0,2.1')] ).

cnf(2870,plain,
    ( equal(tail,u)
    | equal(select(queue_131,u),select(q29,u)) ),
    inference(spr,[status(thm),theory(equality)],[2272,2]),
    [iquote('0:SpR:2272.0,2.1')] ).

cnf(2871,plain,
    ( equal(tail,u)
    | equal(select(queue_113,u),select(q26,u)) ),
    inference(spr,[status(thm),theory(equality)],[2284,2]),
    [iquote('0:SpR:2284.0,2.1')] ).

cnf(2872,plain,
    ( equal(tail,u)
    | equal(select(queue_89,u),select(q22,u)) ),
    inference(spr,[status(thm),theory(equality)],[2226,2]),
    [iquote('0:SpR:2226.0,2.1')] ).

cnf(2873,plain,
    ( equal(tail,u)
    | equal(select(queue_5,u),select(q1,u)) ),
    inference(spr,[status(thm),theory(equality)],[2230,2]),
    [iquote('0:SpR:2230.0,2.1')] ).

cnf(2874,plain,
    ( equal(tail,u)
    | equal(select(queue_65,u),select(q19,u)) ),
    inference(spr,[status(thm),theory(equality)],[2231,2]),
    [iquote('0:SpR:2231.0,2.1')] ).

cnf(2875,plain,
    ( equal(tail,u)
    | equal(select(queue_47,u),select(q16,u)) ),
    inference(spr,[status(thm),theory(equality)],[2234,2]),
    [iquote('0:SpR:2234.0,2.1')] ).

cnf(2876,plain,
    ( equal(tail,u)
    | equal(select(queue_29,u),select(q13,u)) ),
    inference(spr,[status(thm),theory(equality)],[2237,2]),
    [iquote('0:SpR:2237.0,2.1')] ).

cnf(2877,plain,
    ( equal(tail,u)
    | equal(select(queue_281,u),select(q7,u)) ),
    inference(spr,[status(thm),theory(equality)],[2239,2]),
    [iquote('0:SpR:2239.0,2.1')] ).

cnf(2878,plain,
    ( equal(tail,u)
    | equal(select(queue_245,u),select(q46,u)) ),
    inference(spr,[status(thm),theory(equality)],[2245,2]),
    [iquote('0:SpR:2245.0,2.1')] ).

cnf(2879,plain,
    ( equal(tail,u)
    | equal(select(queue_227,u),select(q43,u)) ),
    inference(spr,[status(thm),theory(equality)],[2248,2]),
    [iquote('0:SpR:2248.0,2.1')] ).

cnf(2880,plain,
    ( equal(tail,u)
    | equal(select(queue_209,u),select(q40,u)) ),
    inference(spr,[status(thm),theory(equality)],[2251,2]),
    [iquote('0:SpR:2251.0,2.1')] ).

cnf(2881,plain,
    ( equal(tail,u)
    | equal(select(queue_203,u),select(q4,u)) ),
    inference(spr,[status(thm),theory(equality)],[2252,2]),
    [iquote('0:SpR:2252.0,2.1')] ).

cnf(2882,plain,
    ( equal(tail,u)
    | equal(select(queue_185,u),select(q37,u)) ),
    inference(spr,[status(thm),theory(equality)],[2256,2]),
    [iquote('0:SpR:2256.0,2.1')] ).

cnf(2883,plain,
    ( equal(tail,u)
    | equal(select(queue_167,u),select(q34,u)) ),
    inference(spr,[status(thm),theory(equality)],[2259,2]),
    [iquote('0:SpR:2259.0,2.1')] ).

cnf(2884,plain,
    ( equal(tail,u)
    | equal(select(queue_149,u),select(q31,u)) ),
    inference(spr,[status(thm),theory(equality)],[2262,2]),
    [iquote('0:SpR:2262.0,2.1')] ).

cnf(2885,plain,
    ( equal(tail,u)
    | equal(select(queue_11,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[2271,2]),
    [iquote('0:SpR:2271.0,2.1')] ).

cnf(2886,plain,
    ( equal(tail,u)
    | equal(select(queue_125,u),select(q28,u)) ),
    inference(spr,[status(thm),theory(equality)],[2282,2]),
    [iquote('0:SpR:2282.0,2.1')] ).

cnf(2887,plain,
    ( equal(tail,u)
    | equal(select(queue_107,u),select(q25,u)) ),
    inference(spr,[status(thm),theory(equality)],[1866,2]),
    [iquote('0:SpR:1866.0,2.1')] ).

cnf(2888,plain,
    ( equal(tail,u)
    | equal(select(queue_263,u),select(q49,u)) ),
    inference(spr,[status(thm),theory(equality)],[2110,2]),
    [iquote('0:SpR:2110.0,2.1')] ).

cnf(2889,plain,
    ( equal(tail,u)
    | equal(select(queue_83,u),select(q21,u)) ),
    inference(spr,[status(thm),theory(equality)],[2227,2]),
    [iquote('0:SpR:2227.0,2.1')] ).

cnf(2890,plain,
    ( equal(tail,u)
    | equal(select(queue_59,u),select(q18,u)) ),
    inference(spr,[status(thm),theory(equality)],[2232,2]),
    [iquote('0:SpR:2232.0,2.1')] ).

cnf(2891,plain,
    ( equal(tail,u)
    | equal(select(queue_41,u),select(q15,u)) ),
    inference(spr,[status(thm),theory(equality)],[2235,2]),
    [iquote('0:SpR:2235.0,2.1')] ).

cnf(2892,plain,
    ( equal(tail,u)
    | equal(select(queue_293,u),select(q9,u)) ),
    inference(spr,[status(thm),theory(equality)],[1434,2]),
    [iquote('0:SpR:1434.0,2.1')] ).

cnf(2893,plain,
    ( equal(tail,u)
    | equal(select(queue_275,u),select(q6,u)) ),
    inference(spr,[status(thm),theory(equality)],[2240,2]),
    [iquote('0:SpR:2240.0,2.1')] ).

cnf(2894,plain,
    ( equal(tail,u)
    | equal(select(queue_257,u),select(q48,u)) ),
    inference(spr,[status(thm),theory(equality)],[2242,2]),
    [iquote('0:SpR:2242.0,2.1')] ).

cnf(2895,plain,
    ( equal(tail,u)
    | equal(select(queue_23,u),select(q12,u)) ),
    inference(spr,[status(thm),theory(equality)],[2244,2]),
    [iquote('0:SpR:2244.0,2.1')] ).

cnf(2896,plain,
    ( equal(tail,u)
    | equal(select(queue_239,u),select(q45,u)) ),
    inference(spr,[status(thm),theory(equality)],[2246,2]),
    [iquote('0:SpR:2246.0,2.1')] ).

cnf(2897,plain,
    ( equal(tail,u)
    | equal(select(queue_221,u),select(q42,u)) ),
    inference(spr,[status(thm),theory(equality)],[2249,2]),
    [iquote('0:SpR:2249.0,2.1')] ).

cnf(2898,plain,
    ( equal(tail,u)
    | equal(select(queue_197,u),select(q39,u)) ),
    inference(spr,[status(thm),theory(equality)],[2253,2]),
    [iquote('0:SpR:2253.0,2.1')] ).

cnf(2899,plain,
    ( equal(tail,u)
    | equal(select(queue_179,u),select(q36,u)) ),
    inference(spr,[status(thm),theory(equality)],[2257,2]),
    [iquote('0:SpR:2257.0,2.1')] ).

cnf(2900,plain,
    ( equal(tail,u)
    | equal(select(queue_161,u),select(q33,u)) ),
    inference(spr,[status(thm),theory(equality)],[2260,2]),
    [iquote('0:SpR:2260.0,2.1')] ).

cnf(2901,plain,
    ( equal(tail,u)
    | equal(select(queue_143,u),select(q30,u)) ),
    inference(spr,[status(thm),theory(equality)],[2263,2]),
    [iquote('0:SpR:2263.0,2.1')] ).

cnf(2902,plain,
    ( equal(tail,u)
    | equal(select(queue_137,u),select(q3,u)) ),
    inference(spr,[status(thm),theory(equality)],[2264,2]),
    [iquote('0:SpR:2264.0,2.1')] ).

cnf(2903,plain,
    ( equal(tail,u)
    | equal(select(queue_101,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[1842,2]),
    [iquote('0:SpR:1842.0,2.1')] ).

cnf(2904,plain,
    ( equal(tail,u)
    | equal(select(queue_119,u),select(q27,u)) ),
    inference(spr,[status(thm),theory(equality)],[2283,2]),
    [iquote('0:SpR:2283.0,2.1')] ).

cnf(3017,plain,
    ( equal(tail,head)
    | equal(select(q0,tail),index_0) ),
    inference(spr,[status(thm),theory(equality)],[2806,112]),
    [iquote('0:SpR:2806.1,112.0')] ).

cnf(3019,plain,
    ( equal(tail,head)
    | equal(index_0,index_9) ),
    inference(rew,[status(thm),theory(equality)],[2208,3017]),
    [iquote('0:Rew:2208.0,3017.1')] ).

cnf(3020,plain,
    equal(index_0,index_9),
    inference(mrr,[status(thm)],[3019,3]),
    [iquote('0:MRR:3019.0,3.0')] ).

cnf(3023,plain,
    equal(select(q0,head),index_9),
    inference(rew,[status(thm),theory(equality)],[3020,1296]),
    [iquote('0:Rew:3020.0,1296.0')] ).

cnf(3128,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q22,u)) ),
    inference(spr,[status(thm),theory(equality)],[2856,2757]),
    [iquote('0:SpR:2856.1,2757.1')] ).

cnf(3152,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q20,u),select(q19,u)) ),
    inference(spr,[status(thm),theory(equality)],[2857,2760]),
    [iquote('0:SpR:2857.1,2760.1')] ).

cnf(3165,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q1,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[2858,2761]),
    [iquote('0:SpR:2858.1,2761.1')] ).

cnf(3186,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q17,u),select(q16,u)) ),
    inference(spr,[status(thm),theory(equality)],[2859,2764]),
    [iquote('0:SpR:2859.1,2764.1')] ).

cnf(3199,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q14,u),select(q13,u)) ),
    inference(spr,[status(thm),theory(equality)],[2860,2768]),
    [iquote('0:SpR:2860.1,2768.1')] ).

cnf(3212,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q8,u),select(q7,u)) ),
    inference(spr,[status(thm),theory(equality)],[2861,2771]),
    [iquote('0:SpR:2861.1,2771.1')] ).

cnf(3225,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q5,u),select(q4,u)) ),
    inference(spr,[status(thm),theory(equality)],[2862,2774]),
    [iquote('0:SpR:2862.1,2774.1')] ).

cnf(3238,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q47,u),select(q46,u)) ),
    inference(spr,[status(thm),theory(equality)],[2863,2777]),
    [iquote('0:SpR:2863.1,2777.1')] ).

cnf(3251,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q44,u),select(q43,u)) ),
    inference(spr,[status(thm),theory(equality)],[2864,2780]),
    [iquote('0:SpR:2864.1,2780.1')] ).

cnf(3264,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q41,u),select(q40,u)) ),
    inference(spr,[status(thm),theory(equality)],[2865,2784]),
    [iquote('0:SpR:2865.1,2784.1')] ).

cnf(3277,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q38,u),select(q37,u)) ),
    inference(spr,[status(thm),theory(equality)],[2866,2788]),
    [iquote('0:SpR:2866.1,2788.1')] ).

cnf(3290,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q11,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[2867,2792]),
    [iquote('0:SpR:2867.1,2792.1')] ).

cnf(3303,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q35,u),select(q34,u)) ),
    inference(spr,[status(thm),theory(equality)],[2868,2791]),
    [iquote('0:SpR:2868.1,2791.1')] ).

cnf(3316,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q32,u),select(q31,u)) ),
    inference(spr,[status(thm),theory(equality)],[2869,2795]),
    [iquote('0:SpR:2869.1,2795.1')] ).

cnf(3329,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q29,u),select(q28,u)) ),
    inference(spr,[status(thm),theory(equality)],[2870,2799]),
    [iquote('0:SpR:2870.1,2799.1')] ).

cnf(3342,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q26,u),select(q25,u)) ),
    inference(spr,[status(thm),theory(equality)],[2871,2802]),
    [iquote('0:SpR:2871.1,2802.1')] ).

cnf(3355,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q22,u),select(q21,u)) ),
    inference(spr,[status(thm),theory(equality)],[2872,2758]),
    [iquote('0:SpR:2872.1,2758.1')] ).

cnf(3362,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q21,u)) ),
    inference(rew,[status(thm),theory(equality)],[3355,3128]),
    [iquote('0:Rew:3355.2,3128.2')] ).

cnf(3369,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q1,u),select(q0,u)) ),
    inference(spr,[status(thm),theory(equality)],[2873,2765]),
    [iquote('0:SpR:2873.1,2765.1')] ).

cnf(3376,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q0,u),select(q2,u)) ),
    inference(rew,[status(thm),theory(equality)],[3165,3369]),
    [iquote('0:Rew:3165.2,3369.2')] ).

cnf(3383,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q19,u),select(q18,u)) ),
    inference(spr,[status(thm),theory(equality)],[2874,2762]),
    [iquote('0:SpR:2874.1,2762.1')] ).

cnf(3390,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q20,u),select(q18,u)) ),
    inference(rew,[status(thm),theory(equality)],[3383,3152]),
    [iquote('0:Rew:3383.2,3152.2')] ).

cnf(3397,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q16,u),select(q15,u)) ),
    inference(spr,[status(thm),theory(equality)],[2875,2766]),
    [iquote('0:SpR:2875.1,2766.1')] ).

cnf(3404,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q17,u),select(q15,u)) ),
    inference(rew,[status(thm),theory(equality)],[3397,3186]),
    [iquote('0:Rew:3397.2,3186.2')] ).

cnf(3411,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q13,u),select(q12,u)) ),
    inference(spr,[status(thm),theory(equality)],[2876,2770]),
    [iquote('0:SpR:2876.1,2770.1')] ).

cnf(3418,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q14,u),select(q12,u)) ),
    inference(rew,[status(thm),theory(equality)],[3411,3199]),
    [iquote('0:Rew:3411.2,3199.2')] ).

cnf(3425,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q7,u),select(q6,u)) ),
    inference(spr,[status(thm),theory(equality)],[2877,2772]),
    [iquote('0:SpR:2877.1,2772.1')] ).

cnf(3432,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q8,u),select(q6,u)) ),
    inference(rew,[status(thm),theory(equality)],[3425,3212]),
    [iquote('0:Rew:3425.2,3212.2')] ).

cnf(3439,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q46,u),select(q45,u)) ),
    inference(spr,[status(thm),theory(equality)],[2878,2778]),
    [iquote('0:SpR:2878.1,2778.1')] ).

cnf(3446,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q47,u),select(q45,u)) ),
    inference(rew,[status(thm),theory(equality)],[3439,3238]),
    [iquote('0:Rew:3439.2,3238.2')] ).

cnf(3453,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q43,u),select(q42,u)) ),
    inference(spr,[status(thm),theory(equality)],[2879,2782]),
    [iquote('0:SpR:2879.1,2782.1')] ).

cnf(3460,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q44,u),select(q42,u)) ),
    inference(rew,[status(thm),theory(equality)],[3453,3251]),
    [iquote('0:Rew:3453.2,3251.2')] ).

cnf(3467,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q40,u),select(q39,u)) ),
    inference(spr,[status(thm),theory(equality)],[2880,2785]),
    [iquote('0:SpR:2880.1,2785.1')] ).

cnf(3474,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q41,u),select(q39,u)) ),
    inference(rew,[status(thm),theory(equality)],[3467,3264]),
    [iquote('0:Rew:3467.2,3264.2')] ).

cnf(3481,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q4,u),select(q3,u)) ),
    inference(spr,[status(thm),theory(equality)],[2881,2786]),
    [iquote('0:SpR:2881.1,2786.1')] ).

cnf(3488,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q5,u),select(q3,u)) ),
    inference(rew,[status(thm),theory(equality)],[3481,3225]),
    [iquote('0:Rew:3481.2,3225.2')] ).

cnf(3495,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q37,u),select(q36,u)) ),
    inference(spr,[status(thm),theory(equality)],[2882,2789]),
    [iquote('0:SpR:2882.1,2789.1')] ).

cnf(3502,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q38,u),select(q36,u)) ),
    inference(rew,[status(thm),theory(equality)],[3495,3277]),
    [iquote('0:Rew:3495.2,3277.2')] ).

cnf(3509,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q34,u),select(q33,u)) ),
    inference(spr,[status(thm),theory(equality)],[2883,2793]),
    [iquote('0:SpR:2883.1,2793.1')] ).

cnf(3516,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q35,u),select(q33,u)) ),
    inference(rew,[status(thm),theory(equality)],[3509,3303]),
    [iquote('0:Rew:3509.2,3303.2')] ).

cnf(3523,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q31,u),select(q30,u)) ),
    inference(spr,[status(thm),theory(equality)],[2884,2796]),
    [iquote('0:SpR:2884.1,2796.1')] ).

cnf(3530,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q32,u),select(q30,u)) ),
    inference(rew,[status(thm),theory(equality)],[3523,3316]),
    [iquote('0:Rew:3523.2,3316.2')] ).

cnf(3537,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q9,u),select(q10,u)) ),
    inference(spr,[status(thm),theory(equality)],[2885,2803]),
    [iquote('0:SpR:2885.1,2803.1')] ).

cnf(3550,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q28,u),select(q27,u)) ),
    inference(spr,[status(thm),theory(equality)],[2886,2800]),
    [iquote('0:SpR:2886.1,2800.1')] ).

cnf(3557,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q29,u),select(q27,u)) ),
    inference(rew,[status(thm),theory(equality)],[3550,3329]),
    [iquote('0:Rew:3550.2,3329.2')] ).

cnf(3564,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q25,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[2887,2804]),
    [iquote('0:SpR:2887.1,2804.1')] ).

cnf(3571,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q26,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3564,3342]),
    [iquote('0:Rew:3564.2,3342.2')] ).

cnf(3577,plain,
    ( equal(seq,tail)
    | equal(select(q49,seq),earray_262) ),
    inference(spr,[status(thm),theory(equality)],[2888,1265]),
    [iquote('0:SpR:2888.1,1265.0')] ).

cnf(3578,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q48,u)) ),
    inference(spr,[status(thm),theory(equality)],[2888,2775]),
    [iquote('0:SpR:2888.1,2775.1')] ).

cnf(3580,plain,
    ( equal(seq,tail)
    | equal(earray_296,earray_262) ),
    inference(rew,[status(thm),theory(equality)],[84,3577]),
    [iquote('0:Rew:84.0,3577.1')] ).

cnf(3581,plain,
    equal(earray_296,earray_262),
    inference(mrr,[status(thm)],[3580,5]),
    [iquote('0:MRR:3580.0,5.0')] ).

cnf(3582,plain,
    equal(select(earray_262,index_297),elem_298),
    inference(rew,[status(thm),theory(equality)],[3581,110]),
    [iquote('0:Rew:3581.0,110.0')] ).

cnf(3584,plain,
    equal(select(earray_262,index_9),elem_301),
    inference(rew,[status(thm),theory(equality)],[3581,2183]),
    [iquote('0:Rew:3581.0,2183.0')] ).

cnf(3585,plain,
    equal(elem_301,e48),
    inference(rew,[status(thm),theory(equality)],[2133,3584]),
    [iquote('0:Rew:2133.0,3584.0')] ).

cnf(3586,plain,
    ~ equal(elem_298,e48),
    inference(rew,[status(thm),theory(equality)],[3585,363]),
    [iquote('0:Rew:3585.0,363.0')] ).

cnf(3591,plain,
    ( equal(index_297,index_9)
    | equal(select(earray_260,index_297),elem_298) ),
    inference(spr,[status(thm),theory(equality)],[3582,2855]),
    [iquote('0:SpR:3582.0,2855.1')] ).

cnf(3594,plain,
    equal(index_297,index_9),
    inference(spt,[spt(split,[position(s1)])],[3591]),
    [iquote('1:Spt:3591.0')] ).

cnf(3596,plain,
    equal(select(earray_262,index_9),elem_298),
    inference(rew,[status(thm),theory(equality)],[3594,3582]),
    [iquote('1:Rew:3594.0,3582.0')] ).

cnf(3597,plain,
    equal(elem_298,e48),
    inference(rew,[status(thm),theory(equality)],[2133,3596]),
    [iquote('1:Rew:2133.0,3596.0')] ).

cnf(3598,plain,
    $false,
    inference(mrr,[status(thm)],[3597,3586]),
    [iquote('1:MRR:3597.0,3586.0')] ).

cnf(3599,plain,
    ~ equal(index_297,index_9),
    inference(spt,[spt(split,[position(sa)])],[3598,3594]),
    [iquote('1:Spt:3598.0,3591.0,3594.0')] ).

cnf(3600,plain,
    equal(select(earray_260,index_297),elem_298),
    inference(spt,[spt(split,[position(s2)])],[3591]),
    [iquote('1:Spt:3598.0,3591.1')] ).

cnf(3606,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q21,u),select(q20,u)) ),
    inference(spr,[status(thm),theory(equality)],[2889,2759]),
    [iquote('0:SpR:2889.1,2759.1')] ).

cnf(3613,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q21,u),select(q18,u)) ),
    inference(rew,[status(thm),theory(equality)],[3390,3606]),
    [iquote('0:Rew:3390.2,3606.2')] ).

cnf(3615,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q18,u)) ),
    inference(rew,[status(thm),theory(equality)],[3613,3362]),
    [iquote('0:Rew:3613.2,3362.2')] ).

cnf(3622,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q18,u),select(q17,u)) ),
    inference(spr,[status(thm),theory(equality)],[2890,2763]),
    [iquote('0:SpR:2890.1,2763.1')] ).

cnf(3629,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q18,u),select(q15,u)) ),
    inference(rew,[status(thm),theory(equality)],[3404,3622]),
    [iquote('0:Rew:3404.2,3622.2')] ).

cnf(3634,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q15,u)) ),
    inference(rew,[status(thm),theory(equality)],[3629,3615]),
    [iquote('0:Rew:3629.2,3615.2')] ).

cnf(3641,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q15,u),select(q14,u)) ),
    inference(spr,[status(thm),theory(equality)],[2891,2767]),
    [iquote('0:SpR:2891.1,2767.1')] ).

cnf(3648,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q15,u),select(q12,u)) ),
    inference(rew,[status(thm),theory(equality)],[3418,3641]),
    [iquote('0:Rew:3418.2,3641.2')] ).

cnf(3656,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q12,u)) ),
    inference(rew,[status(thm),theory(equality)],[3648,3634]),
    [iquote('0:Rew:3648.2,3634.2')] ).

cnf(3663,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q9,u),select(q8,u)) ),
    inference(spr,[status(thm),theory(equality)],[2892,2769]),
    [iquote('0:SpR:2892.1,2769.1')] ).

cnf(3672,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q6,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[3537,3663,3432]),
    [iquote('0:Rew:3537.2,3663.2,3432.2,3663.2')] ).

cnf(3690,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q6,u),select(q5,u)) ),
    inference(spr,[status(thm),theory(equality)],[2893,2773]),
    [iquote('0:SpR:2893.1,2773.1')] ).

cnf(3697,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q3,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[3672,3690,3488]),
    [iquote('0:Rew:3672.2,3690.2,3488.2,3690.2')] ).

cnf(3706,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q48,u),select(q47,u)) ),
    inference(spr,[status(thm),theory(equality)],[2894,2776]),
    [iquote('0:SpR:2894.1,2776.1')] ).

cnf(3714,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q48,u),select(q45,u)) ),
    inference(rew,[status(thm),theory(equality)],[3446,3706]),
    [iquote('0:Rew:3446.2,3706.2')] ).

cnf(3715,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q45,u)) ),
    inference(rew,[status(thm),theory(equality)],[3714,3578]),
    [iquote('0:Rew:3714.2,3578.2')] ).

cnf(3723,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q12,u),select(q11,u)) ),
    inference(spr,[status(thm),theory(equality)],[2895,2781]),
    [iquote('0:SpR:2895.1,2781.1')] ).

cnf(3730,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q12,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[3290,3723]),
    [iquote('0:Rew:3290.2,3723.2')] ).

cnf(3741,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q10,u)) ),
    inference(rew,[status(thm),theory(equality)],[3730,3656]),
    [iquote('0:Rew:3730.2,3656.2')] ).

cnf(3748,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q45,u),select(q44,u)) ),
    inference(spr,[status(thm),theory(equality)],[2896,2779]),
    [iquote('0:SpR:2896.1,2779.1')] ).

cnf(3755,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q45,u),select(q42,u)) ),
    inference(rew,[status(thm),theory(equality)],[3460,3748]),
    [iquote('0:Rew:3460.2,3748.2')] ).

cnf(3759,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q42,u)) ),
    inference(rew,[status(thm),theory(equality)],[3755,3715]),
    [iquote('0:Rew:3755.2,3715.2')] ).

cnf(3766,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q42,u),select(q41,u)) ),
    inference(spr,[status(thm),theory(equality)],[2897,2783]),
    [iquote('0:SpR:2897.1,2783.1')] ).

cnf(3773,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q42,u),select(q39,u)) ),
    inference(rew,[status(thm),theory(equality)],[3474,3766]),
    [iquote('0:Rew:3474.2,3766.2')] ).

cnf(3780,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q39,u)) ),
    inference(rew,[status(thm),theory(equality)],[3773,3759]),
    [iquote('0:Rew:3773.2,3759.2')] ).

cnf(3787,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q39,u),select(q38,u)) ),
    inference(spr,[status(thm),theory(equality)],[2898,2787]),
    [iquote('0:SpR:2898.1,2787.1')] ).

cnf(3794,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q39,u),select(q36,u)) ),
    inference(rew,[status(thm),theory(equality)],[3502,3787]),
    [iquote('0:Rew:3502.2,3787.2')] ).

cnf(3804,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q36,u)) ),
    inference(rew,[status(thm),theory(equality)],[3794,3780]),
    [iquote('0:Rew:3794.2,3780.2')] ).

cnf(3811,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q36,u),select(q35,u)) ),
    inference(spr,[status(thm),theory(equality)],[2899,2790]),
    [iquote('0:SpR:2899.1,2790.1')] ).

cnf(3818,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q36,u),select(q33,u)) ),
    inference(rew,[status(thm),theory(equality)],[3516,3811]),
    [iquote('0:Rew:3516.2,3811.2')] ).

cnf(3831,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q33,u)) ),
    inference(rew,[status(thm),theory(equality)],[3818,3804]),
    [iquote('0:Rew:3818.2,3804.2')] ).

cnf(3838,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q33,u),select(q32,u)) ),
    inference(spr,[status(thm),theory(equality)],[2900,2794]),
    [iquote('0:SpR:2900.1,2794.1')] ).

cnf(3845,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q33,u),select(q30,u)) ),
    inference(rew,[status(thm),theory(equality)],[3530,3838]),
    [iquote('0:Rew:3530.2,3838.2')] ).

cnf(3861,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q30,u)) ),
    inference(rew,[status(thm),theory(equality)],[3845,3831]),
    [iquote('0:Rew:3845.2,3831.2')] ).

cnf(3868,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q30,u),select(q29,u)) ),
    inference(spr,[status(thm),theory(equality)],[2901,2797]),
    [iquote('0:SpR:2901.1,2797.1')] ).

cnf(3875,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q30,u),select(q27,u)) ),
    inference(rew,[status(thm),theory(equality)],[3557,3868]),
    [iquote('0:Rew:3557.2,3868.2')] ).

cnf(3894,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q27,u)) ),
    inference(rew,[status(thm),theory(equality)],[3875,3861]),
    [iquote('0:Rew:3875.2,3861.2')] ).

cnf(3901,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q3,u),select(q2,u)) ),
    inference(spr,[status(thm),theory(equality)],[2902,2798]),
    [iquote('0:SpR:2902.1,2798.1')] ).

cnf(3908,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q10,u),select(q2,u)) ),
    inference(rew,[status(thm),theory(equality)],[3697,3901]),
    [iquote('0:Rew:3697.2,3901.2')] ).

cnf(3928,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q2,u)) ),
    inference(rew,[status(thm),theory(equality)],[3908,3741]),
    [iquote('0:Rew:3908.2,3741.2')] ).

cnf(3935,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q23,u),select(q24,u)) ),
    inference(spr,[status(thm),theory(equality)],[2903,2805]),
    [iquote('0:SpR:2903.1,2805.1')] ).

cnf(3942,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q2,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3928,3935]),
    [iquote('0:Rew:3928.2,3935.2')] ).

cnf(3944,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q0,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3942,3376]),
    [iquote('0:Rew:3942.2,3376.2')] ).

cnf(3972,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q27,u),select(q26,u)) ),
    inference(spr,[status(thm),theory(equality)],[2904,2801]),
    [iquote('0:SpR:2904.1,2801.1')] ).

cnf(3979,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q27,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3571,3972]),
    [iquote('0:Rew:3571.2,3972.2')] ).

cnf(4001,plain,
    ( equal(tail,u)
    | equal(seq,u)
    | equal(select(q49,u),select(q24,u)) ),
    inference(rew,[status(thm),theory(equality)],[3979,3894]),
    [iquote('0:Rew:3979.2,3894.2')] ).

cnf(4145,plain,
    ( equal(tail,head)
    | equal(seq,head)
    | equal(select(q24,head),index_9) ),
    inference(spr,[status(thm),theory(equality)],[3944,3023]),
    [iquote('0:SpR:3944.2,3023.0')] ).

cnf(4148,plain,
    equal(select(q24,head),index_9),
    inference(mrr,[status(thm)],[4145,3,4]),
    [iquote('0:MRR:4145.0,4145.1,3.0,4.0')] ).

cnf(4292,plain,
    ( equal(tail,head)
    | equal(seq,head)
    | equal(select(q24,head),index_297) ),
    inference(spr,[status(thm),theory(equality)],[184,4001]),
    [iquote('0:SpR:184.0,4001.2')] ).

cnf(4293,plain,
    ( equal(tail,head)
    | equal(seq,head)
    | equal(index_297,index_9) ),
    inference(rew,[status(thm),theory(equality)],[4148,4292]),
    [iquote('0:Rew:4148.0,4292.2')] ).

cnf(4294,plain,
    $false,
    inference(mrr,[status(thm)],[4293,3,4,3599]),
    [iquote('1:MRR:4293.0,4293.1,4293.2,3.0,4.0,3599.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV571-1.049 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 08:16:32 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.43/1.63  
% 1.43/1.63  SPASS V 3.9 
% 1.43/1.63  SPASS beiseite: Proof found.
% 1.43/1.63  % SZS status Theorem
% 1.43/1.63  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.43/1.63  SPASS derived 3379 clauses, backtracked 13 clauses, performed 2 splits and kept 1790 clauses.
% 1.43/1.63  SPASS allocated 65762 KBytes.
% 1.43/1.63  SPASS spent	0:00:01.26 on the problem.
% 1.43/1.63  		0:00:00.04 for the input.
% 1.43/1.63  		0:00:00.00 for the FLOTTER CNF translation.
% 1.43/1.63  		0:00:00.08 for inferences.
% 1.43/1.63  		0:00:00.00 for the backtracking.
% 1.43/1.63  		0:00:00.99 for the reduction.
% 1.43/1.63  
% 1.43/1.63  
% 1.43/1.63  Here is a proof with depth 3, length 909 :
% 1.43/1.63  % SZS output start Refutation
% See solution above
% 1.43/1.63  Formulae used in the proof : a1 a2 head_distinct_from_tail head_distinct_from_seq tail_distinct_from_seq ps circular hyp61 hyp73 hyp99 hyp100 hyp101 hyp102 hyp103 hyp104 hyp105 hyp106 hyp107 hyp108 hyp109 hyp110 hyp111 hyp112 hyp113 hyp114 hyp115 hyp116 hyp117 hyp118 hyp119 hyp120 hyp121 hyp122 hyp123 hyp124 hyp125 hyp126 hyp127 hyp128 hyp129 hyp130 hyp131 hyp132 hyp133 hyp134 hyp135 hyp136 hyp137 hyp138 hyp139 hyp140 hyp141 hyp142 hyp143 hyp144 hyp145 hyp146 hyp147 hyp148 hyp149 hyp150 hyp151 hyp152 hyp153 hyp154 hyp155 hyp156 hyp157 hyp158 hyp159 hyp160 hyp161 hyp162 hyp163 hyp164 hyp165 hyp166 hyp167 hyp168 hyp169 hyp170 hyp171 hyp172 hyp173 hyp174 hyp175 hyp176 hyp177 hyp178 hyp179 hyp180 hyp181 hyp182 hyp183 hyp184 hyp185 hyp186 hyp187 hyp188 hyp189 hyp190 hyp191 hyp192 hyp193 hyp194 hyp195 hyp196 hyp197 hyp198 hyp199 hyp200 hyp201 hyp202 hyp203 hyp204 hyp205 hyp206 hyp207 hyp208 hyp209 hyp210 hyp211 hyp212 hyp213 hyp214 hyp215 hyp216 hyp217 hyp218 hyp219 hyp220 hyp221 hyp222 hyp223 hyp224 hyp225 hyp226 hyp227 hyp228 hyp229 hyp230 hyp231 hyp232 hyp233 hyp234 hyp235 hyp236 hyp237 hyp238 hyp239 hyp240 hyp241 hyp242 hyp243 hyp244 hyp245 hyp246 hyp247 hyp248 hyp249 hyp250 hyp251 hyp252 hyp253 hyp254 hyp255 hyp256 hyp257 hyp258 hyp259 hyp260 hyp261 hyp262 hyp263 hyp264 hyp265 hyp266 hyp267 hyp268 hyp269 hyp270 hyp271 hyp272 hyp273 hyp274 hyp275 hyp276 hyp277 hyp278 hyp279 hyp280 hyp281 hyp282 hyp283 hyp284 hyp285 hyp286 hyp287 hyp288 hyp289 hyp290 hyp291 hyp292 hyp293 hyp294 hyp295 hyp296 hyp297 hyp298 hyp299 hyp300 hyp301 hyp302 hyp303 hyp304 hyp305 hyp306 hyp307 hyp308 hyp309 hyp310 hyp311 hyp312 hyp313 hyp314 hyp315 hyp316 hyp317 hyp318 hyp319 hyp320 hyp321 hyp322 hyp323 hyp324 hyp325 hyp326 hyp327 hyp328 hyp329 hyp330 hyp331 hyp332 hyp333 hyp334 hyp335 hyp336 hyp337 hyp338 hyp339 hyp340 hyp341 hyp342 hyp343 hyp344 hyp345 hyp346 hyp347 hyp348 hyp349 hyp350 hyp351 goal
% 1.51/1.71  
%------------------------------------------------------------------------------